 Bokuan Li
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67ccd97ac5
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Another revision.
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2026-08-26 19:55:34 -04:00 |
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Bokuan Li
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4d7291bc9e
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Typo fixes in the type decomposition section.
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2026-08-26 19:32:11 -04:00 |
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Bokuan Li
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fbf94061cb
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Typo fixes in projection section.
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2026-08-26 19:26:51 -04:00 |
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Bokuan Li
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1490514227
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First draft of type decomposition.
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2026-08-26 19:25:58 -04:00 |
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Bokuan Li
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8f0998d52f
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Added projections.
Compile Project / Compile (push) Successful in 50s
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2026-08-24 17:41:04 -04:00 |
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Bokuan Li
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fa4c1db319
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Fixed a typo.
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2026-08-21 18:54:21 -04:00 |
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Bokuan Li
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881f4a4746
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Editing.
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2026-08-20 16:25:48 -04:00 |
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Bokuan Li
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b3d3620ec9
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Added representation of commutative von Neumann algebras.
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2026-08-20 15:08:07 -04:00 |
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Bokuan Li
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f65e49fccf
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Added some linfty.
Compile Project / Compile (push) Successful in 52s
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2026-08-18 21:47:50 -04:00 |
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Bokuan Li
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e1fd4219a5
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Added some applications of the $L^\infty$ functional calculus.
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2026-08-18 14:28:00 -04:00 |
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Bokuan Li
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5503003c92
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Updated the spectral theorem.
Compile Project / Compile (push) Successful in 54s
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2026-08-17 00:24:34 -04:00 |
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Bokuan Li
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6cf96d9803
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Fixed up spectral.
Compile Project / Compile (push) Successful in 59s
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2026-08-16 17:34:03 -04:00 |
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Bokuan Li
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0aa8e956f5
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Fixed up the L^\infty functional calculus section.
Compile Project / Compile (push) Successful in 56s
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2026-08-16 16:22:23 -04:00 |
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Bokuan Li
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1b8d380eeb
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First typo fix of spectral II.
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2026-08-16 16:18:08 -04:00 |
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Bokuan Li
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fa66eb73c9
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First draft of spectral theorem II.
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2026-08-16 16:11:38 -04:00 |
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Bokuan Li
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a98ff324ac
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Added another draft of the Borel functional calculus.
Compile Project / Compile (push) Successful in 48s
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2026-08-15 16:10:55 -04:00 |
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Bokuan Li
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51a74243a0
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Added the spectral integral isomorphism.
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2026-08-15 15:34:26 -04:00 |
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Bokuan Li
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0cecf7a27a
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Fixed small typos.
Compile Project / Compile (push) Successful in 54s
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2026-08-14 20:54:09 -04:00 |
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Bokuan Li
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9530f806b1
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Fixed some typos.
Compile Project / Compile (push) Successful in 51s
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2026-08-14 20:42:33 -04:00 |
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Bokuan Li
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421233bf4d
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Added first draft of the Borel functional calculus.
Compile Project / Compile (push) Successful in 50s
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2026-08-14 20:28:23 -04:00 |
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Bokuan Li
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b51f12a338
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Added the extended inverse Gelfand transform.
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2026-08-14 20:10:47 -04:00 |
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Bokuan Li
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f8b61cca1a
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Updated $L^p$ notations.
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2026-08-14 14:29:06 -04:00 |
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Bokuan Li
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e2eeae3f36
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Fixed a few typos.
Compile Project / Compile (push) Has been cancelled
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2026-08-13 19:26:36 -04:00 |
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Bokuan Li
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1c33dabcd8
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Trying to push again?
Compile Project / Compile (push) Successful in 47s
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2026-08-13 14:57:14 -04:00 |
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Bokuan Li
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4fb16feb5a
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Added the Arens extension.
Compile Project / Compile (push) Failing after 43s
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2026-08-13 14:27:43 -04:00 |
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Bokuan Li
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22a8d18845
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Added trolling.
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2026-08-12 22:40:04 -04:00 |
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Bokuan Li
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594d139e4c
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Slight adjustments.
Compile Project / Compile (push) Failing after 40s
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2026-08-11 18:30:55 -04:00 |
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Bokuan Li
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05bc2c6820
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Changed label format.
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2026-08-11 18:20:09 -04:00 |
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Bokuan Li
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2177baf09d
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Added the Kaplansky Density Theorem.
Compile Project / Compile (push) Successful in 53s
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2026-08-11 16:18:48 -04:00 |
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Bokuan Li
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7e78ce4ae1
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Simplified the separable dual result.
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2026-08-11 13:50:38 -04:00 |
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Bokuan Li
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6a53d4d107
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Added a continuity result in strong operator topology.
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2026-08-11 13:40:24 -04:00 |
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Bokuan Li
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5d8a956d0c
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Added the bicommutant theorem.
Compile Project / Compile (push) Successful in 53s
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2026-08-10 16:03:07 -04:00 |
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Bokuan Li
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f327c5ab93
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Fixed typo.
Compile Project / Compile (push) Successful in 49s
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2026-08-09 21:23:49 -04:00 |
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Bokuan Li
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c02d873ddd
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Added bilinear forms.
Compile Project / Compile (push) Successful in 55s
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2026-08-09 21:18:50 -04:00 |
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Bokuan Li
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56d081628f
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Updated citation on the existence of projections.
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2026-08-09 16:08:57 -04:00 |
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Bokuan Li
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575cd66ad8
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Added the existence of projections.
Compile Project / Compile (push) Successful in 52s
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2026-08-09 15:40:56 -04:00 |
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Bokuan Li
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1bc1b17fee
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Added elementary properties of adjoint maps.
Compile Project / Compile (push) Successful in 50s
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2026-08-08 19:39:18 -04:00 |
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Bokuan Li
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ae2fc8147f
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Added basic topology facts about B(H).
Compile Project / Compile (push) Successful in 56s
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2026-08-08 16:01:28 -04:00 |
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Bokuan Li
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8a9ecc85f3
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Added a bit of von Neumann.
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2026-08-08 15:49:56 -04:00 |
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Bokuan Li
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8efc71c1a1
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Fixed some typos.
Compile Project / Compile (push) Successful in 53s
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2026-08-08 15:06:50 -04:00 |
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Bokuan Li
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bc1aea01b3
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Added quotients.
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2026-08-08 14:56:27 -04:00 |
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Bokuan Li
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83854cdc04
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Added a section on non-unital C^*-algebras.
Compile Project / Compile (push) Successful in 51s
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2026-08-08 12:49:01 -04:00 |
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Bokuan Li
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b75d97e94a
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Linked existence of the weak integral.
Compile Project / Compile (push) Successful in 51s
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2026-08-07 20:14:59 -04:00 |
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Bokuan Li
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a57b88618f
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Added existence of the weak integral.
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2026-08-07 20:14:39 -04:00 |
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Bokuan Li
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39a16de049
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I didn't have closed graph theorem?
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2026-08-07 19:31:19 -04:00 |
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Bokuan Li
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4d4789bd38
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Random nonsense.
Compile Project / Compile (push) Successful in 51s
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2026-08-07 17:49:06 -04:00 |
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Bokuan Li
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8faaa8dab4
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Added the injective tensor product.
Compile Project / Compile (push) Successful in 43s
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2026-08-07 15:50:54 -04:00 |
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Bokuan Li
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39086537c3
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Fixed diagram.
Compile Project / Compile (push) Successful in 52s
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2026-08-06 16:20:33 -04:00 |
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Bokuan Li
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07bfef705e
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Added Banach-Mazur.
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2026-08-06 16:19:07 -04:00 |
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Bokuan Li
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3ba29569ef
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Added universality of the zero-dimensional spaces.
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2026-08-06 15:59:15 -04:00 |
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Bokuan Li
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a493db41c9
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Typo fix.
Compile Project / Compile (push) Successful in 45s
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2026-07-24 18:43:35 -04:00 |
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Bokuan Li
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22ce40afa2
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Fixed minor typo.
Compile Project / Compile (push) Successful in 46s
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2026-07-21 20:56:11 -04:00 |
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Bokuan Li
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12bc7db736
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Added Schauder bases.
Compile Project / Compile (push) Successful in 46s
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2026-07-20 23:47:02 -04:00 |
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Bokuan Li
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1ef1cde0b2
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Added another corollary.
Compile Project / Compile (push) Successful in 43s
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2026-07-20 22:55:07 -04:00 |
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Bokuan Li
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6019461a9b
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Added corollaries.
Compile Project / Compile (push) Successful in 56s
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2026-07-20 22:40:36 -04:00 |
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Bokuan Li
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60f8fb94eb
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Added characterisation of the approximation property.
Compile Project / Compile (push) Successful in 54s
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2026-07-20 19:48:59 -04:00 |
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Bokuan Li
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aa47453f25
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Added Gantmacher's theorem.
Compile Project / Compile (push) Successful in 53s
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2026-07-20 17:00:46 -04:00 |
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Bokuan Li
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22f9bc219b
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Added tensor gymnastics.
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2026-07-20 12:58:27 -04:00 |
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Bokuan Li
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4b1a17c259
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Added the c_0 sequence space and its duality result.
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2026-07-20 12:57:20 -04:00 |
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Bokuan Li
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25d3f4e8d2
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Added Goldstine's Theorem.
Compile Project / Compile (push) Successful in 52s
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2026-07-17 18:49:11 -04:00 |
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Bokuan Li
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843631b024
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Added the compact null sequence lemma.
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2026-07-17 14:29:04 -04:00 |
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Bokuan Li
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fe557de4a6
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Various additions.
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2026-07-16 13:49:27 -04:00 |
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Bokuan Li
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42eeae1679
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Every product of nuclear spaces is nuclear.
Compile Project / Compile (push) Successful in 48s
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2026-07-15 17:16:40 -04:00 |
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Bokuan Li
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1038594584
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Sums of nuclear spaces are nuclear.
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2026-07-15 17:03:51 -04:00 |
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Bokuan Li
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db79f11991
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Quotients of nuclear spaces are nuclear.
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2026-07-15 16:28:53 -04:00 |
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Bokuan Li
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11c969be61
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Subspaces of nuclear spaces are nuclear.
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2026-07-15 15:14:02 -04:00 |
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Bokuan Li
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d967ed933e
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Updated nuclear spaces.
Compile Project / Compile (push) Successful in 45s
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2026-07-14 20:48:33 -04:00 |
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Bokuan Li
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f80c788ca2
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Added nuclear spaces.
Compile Project / Compile (push) Successful in 46s
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2026-07-14 20:31:59 -04:00 |
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Bokuan Li
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6b640447fb
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Added the polar decomposition.
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2026-07-14 16:20:16 -04:00 |
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Bokuan Li
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d1ddf9f64b
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Added nuclear operators.
Compile Project / Compile (push) Successful in 40s
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2026-07-13 15:36:06 -04:00 |
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Bokuan Li
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84316a2059
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Fiest draft of nuclear operators.
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2026-07-13 15:26:05 -04:00 |
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Bokuan Li
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3113e1da04
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Fixed typo.
Compile Project / Compile (push) Successful in 47s
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2026-07-10 18:38:50 -04:00 |
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Bokuan Li
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97150879d7
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Oopsies daisies.
Compile Project / Compile (push) Successful in 43s
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2026-07-10 13:19:12 -04:00 |
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Bokuan Li
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d0f646fbe1
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Added GNS.
Compile Project / Compile (push) Successful in 44s
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2026-07-09 15:31:43 -04:00 |
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Bokuan Li
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965a89d63a
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Fix typo in hahn-banach.
Compile Project / Compile (push) Successful in 41s
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2026-07-09 13:47:24 -04:00 |
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Bokuan Li
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67b00db276
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Fix typo.
Compile Project / Compile (push) Successful in 47s
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2026-07-09 12:47:54 -04:00 |
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Bokuan Li
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013b095fa2
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Added setup for GNS.
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2026-07-09 12:36:43 -04:00 |
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Bokuan Li
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897edcf512
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Added explicit descriptions of states in matrix algebras.
Compile Project / Compile (push) Successful in 39s
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2026-07-08 17:16:27 -04:00 |
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Bokuan Li
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709ce33a8d
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Minor cleanup.
Compile Project / Compile (push) Successful in 42s
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2026-07-08 15:16:14 -04:00 |
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Bokuan Li
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e5ef0d51df
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Added states.
Compile Project / Compile (push) Successful in 41s
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2026-07-08 15:02:23 -04:00 |
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Bokuan Li
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0a288cda5d
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Updated main page.
Compile Project / Compile (push) Successful in 38s
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2026-07-07 22:08:29 -04:00 |
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Bokuan Li
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bf0107f15d
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Oopsies daisies.
Compile Project / Compile (push) Successful in 42s
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2026-07-07 20:50:19 -04:00 |
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Bokuan Li
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c7cca8820c
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Added Krein-Milman for measures.
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2026-07-07 20:49:57 -04:00 |
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Bokuan Li
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22ed76cb00
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Word massaging.
Compile Project / Compile (push) Successful in 45s
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2026-07-07 17:40:49 -04:00 |
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Bokuan Li
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de9b6fb813
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Added characterisation of positive linear functionals.
Compile Project / Compile (push) Successful in 46s
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2026-07-07 17:26:52 -04:00 |
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Bokuan Li
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f5ebcd7979
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Reworked the order chapter.
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2026-07-07 14:40:27 -04:00 |
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Bokuan Li
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f4e5004e8c
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Added remark.
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2026-07-07 12:34:05 -04:00 |
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Bokuan Li
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f3c2c97f3b
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Added order decomposition for C*-algebras.
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2026-07-07 12:33:11 -04:00 |
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Bokuan Li
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2ce66064fe
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Added continuity of homomorphisms.
Compile Project / Compile (push) Successful in 47s
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2026-07-07 12:09:59 -04:00 |
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Bokuan Li
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f613e65d10
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Removed parts from Zhu citations.
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2026-07-07 11:39:54 -04:00 |
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Bokuan Li
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86aba8ee4b
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Minor adjustments.
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2026-07-06 12:36:34 -04:00 |
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Bokuan Li
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2cf172fa34
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Fixed typo.
Compile Project / Compile (push) Successful in 36s
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2026-07-04 12:53:34 -04:00 |
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Bokuan Li
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9963459363
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Finished lecture 11.
Compile Project / Compile (push) Successful in 42s
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2026-07-03 16:55:00 -04:00 |
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Bokuan Li
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26fdb527ce
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Added more facts about the positive square root.
Compile Project / Compile (push) Successful in 39s
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2026-07-03 16:20:41 -04:00 |
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Bokuan Li
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35e9550ff2
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Added the continuous functional calculus.
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2026-07-03 15:21:33 -04:00 |
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Bokuan Li
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683b822e7e
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Added Gelfand Naimark.
Compile Project / Compile (push) Successful in 37s
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2026-07-02 14:02:26 -04:00 |
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Bokuan Li
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dd62fbc0f4
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Label typo?
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2026-07-02 13:12:05 -04:00 |
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Bokuan Li
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1caa2785ef
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Small adjustments.
Compile Project / Compile (push) Successful in 35s
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2026-07-01 00:04:11 -04:00 |
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Bokuan Li
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89ec2234be
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Fixed typo.
Compile Project / Compile (push) Successful in 39s
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2026-06-30 19:34:11 -04:00 |
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Bokuan Li
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1f9e0bea78
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Added extremely disconnected spaces.
Compile Project / Compile (push) Successful in 40s
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2026-06-30 19:32:42 -04:00 |
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