 Bokuan Li
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aa928717d0
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Minor style adjustment in Urysohn.
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2026-06-23 19:40:45 -04:00 |
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Bokuan Li
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15dec0e93f
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Fixed typo in LCH.
Compile Project / Compile (push) Successful in 37s
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2026-06-23 15:11:01 -04:00 |
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Bokuan Li
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ea097e46e8
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Minor adjustments.
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2026-06-22 20:07:17 -04:00 |
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Bokuan Li
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adc5d1828a
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Fixed missing macro.
Compile Project / Compile (push) Successful in 33s
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2026-06-22 13:27:12 -04:00 |
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Bokuan Li
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707b5310da
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Cleaned up convergence in measure.
Compile Project / Compile (push) Successful in 38s
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2026-06-22 13:18:17 -04:00 |
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Bokuan Li
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05e9571794
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Updated formulation of convergence in measure.
Compile Project / Compile (push) Successful in 39s
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2026-06-22 13:06:15 -04:00 |
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Bokuan Li
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3bf3f2a85c
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Adjusted notation for spaces of measurable functions.
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2026-06-22 12:55:37 -04:00 |
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Bokuan Li
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b52626f3a1
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Added a few points about Cauchy completeness of metric spaces.
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2026-06-22 12:47:25 -04:00 |
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Bokuan Li
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47b8f198e1
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Clamped the Ky Fan metric.
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2026-06-22 12:33:43 -04:00 |
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Bokuan Li
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8cbd165df3
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Updated main description.
Compile Project / Compile (push) Successful in 39s
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2026-06-21 23:28:31 -04:00 |
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Bokuan Li
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a6cd3c7a1b
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Fixed definition of LCH spaces.
Compile Project / Compile (push) Successful in 40s
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2026-06-21 23:26:35 -04:00 |
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Bokuan Li
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3a8db01be5
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Added uniform description for convergence in measure.
Compile Project / Compile (push) Successful in 37s
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2026-06-21 21:58:14 -04:00 |
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Bokuan Li
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f107df48bf
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MAJOR RETRACTION IN UNIFORMITY DEFINING PROPOSITION.
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2026-06-21 21:56:28 -04:00 |
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Bokuan Li
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a57686be8f
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Added notation for space of measurable functions.
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2026-06-21 21:08:13 -04:00 |
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Bokuan Li
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66dd4b0068
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Fixed typo in Lebesgue lemma.
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2026-06-21 20:53:43 -04:00 |
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Bokuan Li
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84fb052c78
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Fixed more typos for Scheffe.
Compile Project / Compile (push) Successful in 40s
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2026-06-21 00:29:02 -04:00 |
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Bokuan Li
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19e2d2df51
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Typo fixes in Scheffe.
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2026-06-21 00:24:59 -04:00 |
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Bokuan Li
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8c5400bf88
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Adjusted the in measure version of DCT.
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2026-06-21 00:22:48 -04:00 |
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Bokuan Li
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5ce01bd9f3
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Added draft of Scheffe's lemma.
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2026-06-21 00:21:11 -04:00 |
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Bokuan Li
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15fc3f430b
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Slight adjustments.
Compile Project / Compile (push) Successful in 37s
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2026-06-20 21:29:53 -04:00 |
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Bokuan Li
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10c6215427
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Added a local to global characterisation of convergence in measure.
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2026-06-20 20:45:36 -04:00 |
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Bokuan Li
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1026ff782e
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Adjusted some things in Radon meaasures.
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2026-06-20 20:45:20 -04:00 |
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Bokuan Li
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9227565f21
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Added translation properties for Haar.
Compile Project / Compile (push) Successful in 35s
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2026-06-20 10:28:50 -04:00 |
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Bokuan Li
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ea091f006a
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Adjusted wording in Haar.
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2026-06-20 10:13:19 -04:00 |
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Bokuan Li
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094320ef29
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Cleaned up MCT in measure.
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2026-06-20 10:11:25 -04:00 |
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Bokuan Li
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242c7ebea1
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Updated the Lebesgue non-negative integral formula.
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2026-06-20 09:48:01 -04:00 |
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Bokuan Li
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9dae6324ef
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Updated remark for dominated convergence.
Compile Project / Compile (push) Successful in 37s
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2026-06-19 20:54:43 -04:00 |
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Bokuan Li
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2d75e7c029
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Added MCT for convergence in measure.
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2026-06-19 20:50:42 -04:00 |
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Bokuan Li
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8742c4f7cd
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Added MCT for convergence in measure.
Compile Project / Compile (push) Successful in 38s
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2026-06-19 20:34:15 -04:00 |
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Bokuan Li
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dc789884bc
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Typo.
Compile Project / Compile (push) Successful in 38s
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2026-06-19 17:42:31 -04:00 |
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Bokuan Li
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1722ddb933
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Added the Vitali convergence theorem.
Compile Project / Compile (push) Successful in 33s
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2026-06-19 17:36:53 -04:00 |
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Bokuan Li
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a97be99b8a
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Fixed typos in the haar proof.
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2026-06-19 13:01:06 -04:00 |
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Bokuan Li
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64788a5322
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Added a variation bound for scalar measures.
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2026-06-19 12:59:33 -04:00 |
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Bokuan Li
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9504125410
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Added uniqueness of Haar.
Compile Project / Compile (push) Successful in 38s
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2026-06-18 21:00:12 -04:00 |
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Bokuan Li
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6487655eb3
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Fixed typo.
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2026-06-18 20:21:58 -04:00 |
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Bokuan Li
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b68c050225
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Mised 3 factor.
Compile Project / Compile (push) Successful in 41s
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2026-06-17 23:50:56 -04:00 |
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Bokuan Li
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346b0bdfd2
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Made more room.
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2026-06-17 23:49:24 -04:00 |
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Bokuan Li
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a8eed2a9ba
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ACTUALLY added the Haar measure.
Compile Project / Compile (push) Successful in 36s
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2026-06-17 23:46:13 -04:00 |
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Bokuan Li
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7a678b9efe
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Added existence of the Haar measure.
Compile Project / Compile (push) Successful in 37s
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2026-06-17 23:44:23 -04:00 |
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Bokuan Li
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4028f13e04
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Added more facts about topological groups.
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2026-06-17 20:27:35 -04:00 |
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Bokuan Li
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50d4a326db
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Slight adjustment to topological groups.
Compile Project / Compile (push) Successful in 40s
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2026-06-17 17:53:04 -04:00 |
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Bokuan Li
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f29c3cdeb7
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More typo fixes.
Compile Project / Compile (push) Successful in 38s
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2026-06-17 17:21:36 -04:00 |
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Bokuan Li
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66d4a9ef3e
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Funny typo.
Compile Project / Compile (push) Successful in 38s
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2026-06-17 17:19:35 -04:00 |
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Bokuan Li
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6d84f0ea47
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Performed housekeeping for topological groups.
Compile Project / Compile (push) Successful in 39s
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2026-06-17 17:17:37 -04:00 |
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Bokuan Li
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597a92b006
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Adjusted wording for the sequential statement.
Compile Project / Compile (push) Successful in 41s
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2026-06-16 21:09:48 -04:00 |
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Bokuan Li
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ff2218c79b
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Fixed stack exchange citation.
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2026-06-16 15:17:37 -04:00 |
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Bokuan Li
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d5d03954df
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Slight typographic adjustment.
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2026-06-16 13:45:06 -04:00 |
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Bokuan Li
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c31994b247
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Fixed awkward phrasing.
Compile Project / Compile (push) Successful in 33s
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2026-06-16 13:43:42 -04:00 |
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Bokuan Li
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76107709a8
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Added a description of weak-* convergence in the case of bounded Borel functions.
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2026-06-16 13:42:54 -04:00 |
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Bokuan Li
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f456f79891
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Fleshed out the dual of measure spaces.
Compile Project / Compile (push) Successful in 37s
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2026-06-16 13:25:40 -04:00 |
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Bokuan Li
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07d8419fe0
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Added duality result for spaces of measures.
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2026-06-16 13:10:24 -04:00 |
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Bokuan Li
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845e616453
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Fixed typos in the sequence space duality result.
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2026-06-16 12:35:36 -04:00 |
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Bokuan Li
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49e4e15649
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Added duality for the sequence spaces.
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2026-06-16 12:23:51 -04:00 |
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Bokuan Li
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b9d67bfb82
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Added mental gymnastics for lp direct sums.
Compile Project / Compile (push) Successful in 32s
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2026-06-15 22:52:25 -04:00 |
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Bokuan Li
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6c6522a1de
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Added l^p sequence spaces.
Compile Project / Compile (push) Successful in 37s
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2026-06-15 21:57:37 -04:00 |
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Bokuan Li
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dadddc4663
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Added section regarding the duality of L^p spaces.
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2026-06-15 21:47:49 -04:00 |
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Bokuan Li
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35efec2d90
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Updated the separable dual proposition.
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2026-06-15 14:16:32 -04:00 |
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Bokuan Li
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9f05b9dabd
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Fixed a handful of typos.
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2026-06-15 00:17:03 -04:00 |
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Bokuan Li
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5b1e0f86e6
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Added missing justification.
Compile Project / Compile (push) Successful in 41s
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2026-06-14 23:09:35 -04:00 |
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Bokuan Li
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33c6a6775d
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Fixed typos.
Compile Project / Compile (push) Successful in 46s
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2026-06-14 22:59:26 -04:00 |
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Bokuan Li
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b2ef9f2736
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Added the Vitali-Hahn-Saks theorem.
Compile Project / Compile (push) Successful in 39s
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2026-06-14 22:55:23 -04:00 |
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Bokuan Li
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1ec807a9ca
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Removed pretentiousness.
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2026-06-14 21:29:15 -04:00 |
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Bokuan Li
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16baef24e7
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Oxford? comma.
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2026-06-14 21:26:17 -04:00 |
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Bokuan Li
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b8df875d0f
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Actually added the Radon-Nikodym theorem.
Compile Project / Compile (push) Successful in 36s
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2026-06-14 21:24:26 -04:00 |
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Bokuan Li
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754cba965b
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Added the Radon-Nikodym theorem for finite measures.
Compile Project / Compile (push) Successful in 38s
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2026-06-14 21:20:35 -04:00 |
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Bokuan Li
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df1d959331
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Added the basics of Hilbert spaces.
Compile Project / Compile (push) Successful in 33s
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2026-06-14 17:01:52 -04:00 |
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Bokuan Li
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9ec4eea839
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Added the method of complex interpolation.
Compile Project / Compile (push) Successful in 37s
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2026-06-10 23:39:46 -04:00 |
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Bokuan Li
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1c211eac9a
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Housekeeping.
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2026-06-10 15:16:43 -04:00 |
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Bokuan Li
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60c2144e9e
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Added a bit of interpolation spaces.
Compile Project / Compile (push) Successful in 35s
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2026-06-09 22:10:48 -04:00 |
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Bokuan Li
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4f613e6d40
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Added Hadamard's Three Lines Lemma.
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2026-06-09 21:00:52 -04:00 |
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Bokuan Li
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99d772d1c8
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Added the Riesz decomposition.
Compile Project / Compile (push) Successful in 36s
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2026-06-05 21:57:02 -04:00 |
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Bokuan Li
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09a94756ea
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Added basics of C*-algebras.
Compile Project / Compile (push) Successful in 34s
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2026-06-04 17:54:06 -04:00 |
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Bokuan Li
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7ce835cef2
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Added sneaky interpolation functor jokes.
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2026-06-04 16:45:03 -04:00 |
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Bokuan Li
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2444406ec1
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Added facts about C_0.
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2026-06-04 16:31:26 -04:00 |
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Bokuan Li
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13a0e07b72
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Fixed some numbering problems.
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2026-06-04 13:41:05 -04:00 |
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Bokuan Li
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ebead6c022
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Added the unitisation.
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2026-06-04 13:39:55 -04:00 |
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Bokuan Li
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6441352421
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Fixed wrong proof marker.
Compile Project / Compile (push) Successful in 32s
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2026-06-03 17:24:30 -04:00 |
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Bokuan Li
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677a396e24
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Fixed missing citation.
Compile Project / Compile (push) Successful in 31s
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2026-06-03 17:13:07 -04:00 |
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Bokuan Li
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6c9c479198
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Adjusted prose in example facts.
Compile Project / Compile (push) Successful in 29s
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2026-06-03 17:08:55 -04:00 |
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Bokuan Li
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668679063b
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Added some example facts.
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2026-06-03 16:56:40 -04:00 |
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Bokuan Li
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f72f815c72
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Added basic facts about the Gelfand transform.
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2026-06-03 15:44:13 -04:00 |
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Bokuan Li
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56f3ae37f7
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Slight adjustments in known results.
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2026-06-03 14:37:13 -04:00 |
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Bokuan Li
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2c1169e55a
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Added a handful of examples.
Compile Project / Compile (push) Successful in 38s
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2026-06-02 21:39:59 -04:00 |
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Bokuan Li
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42433c40ca
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Upgraded prose.
Compile Project / Compile (push) Successful in 32s
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2026-06-02 20:26:07 -04:00 |
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Bokuan Li
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f4bcc76bd0
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Added the GKZ Theorem.
Compile Project / Compile (push) Successful in 34s
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2026-06-02 20:21:07 -04:00 |
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Bokuan Li
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54a518e9e2
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Added setup for the GKZ theorem.
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2026-06-02 19:11:59 -04:00 |
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Bokuan Li
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44d8bbd4da
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Added basic facts on maximal ideals.
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2026-06-02 15:40:18 -04:00 |
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Bokuan Li
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c189b7da1a
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Fixed typo.
Compile Project / Compile (push) Successful in 37s
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2026-06-01 23:55:52 -04:00 |
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Bokuan Li
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787f89e3a6
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Fixed wrong theorem name.
Compile Project / Compile (push) Successful in 28s
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2026-06-01 17:30:38 -04:00 |
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Bokuan Li
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f071a4ff31
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Added lemmas on the identity component of the general linear group.
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2026-06-01 17:30:03 -04:00 |
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Bokuan Li
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313f071f20
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Added the spectral mapping theorem.
Compile Project / Compile (push) Successful in 31s
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2026-06-01 16:38:02 -04:00 |
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Bokuan Li
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fb9febc01b
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Fixed typo in notations.
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2026-06-01 00:05:45 -04:00 |
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Bokuan Li
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639aa253cf
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Slightly adjusted notation.
Compile Project / Compile (push) Successful in 36s
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2026-05-31 23:20:08 -04:00 |
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Bokuan Li
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5cf2bd9f10
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Added missing assumption.
Compile Project / Compile (push) Successful in 38s
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2026-05-31 23:14:56 -04:00 |
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Bokuan Li
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bfa5aee60e
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Added the holomorphic functional calculus.
Compile Project / Compile (push) Successful in 35s
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2026-05-31 23:12:15 -04:00 |
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Bokuan Li
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73951c9d4c
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Fixed typo with 1/2pi i.
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2026-05-31 20:00:40 -04:00 |
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Bokuan Li
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85e73baf76
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Added citation.
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2026-05-31 19:30:12 -04:00 |
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Bokuan Li
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3a07b5331e
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Added basics of Banach algebras.
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2026-05-31 19:26:20 -04:00 |
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Bokuan Li
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fb8178b7ee
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Slight wording adjustments.
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2026-05-31 15:53:32 -04:00 |
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Bokuan Li
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47145cdf58
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Adjusted labeling of conditions for Banach-Steinhaus.
Compile Project / Compile (push) Successful in 26s
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2026-05-30 20:40:38 -04:00 |
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