Commit Graph

368 Commits

Author SHA1 Message Date
Bokuan Li
10c6215427 Added a local to global characterisation of convergence in measure. 2026-06-20 20:45:36 -04:00
Bokuan Li
1026ff782e Adjusted some things in Radon meaasures. 2026-06-20 20:45:20 -04:00
Bokuan Li
9227565f21 Added translation properties for Haar.
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2026-06-20 10:28:50 -04:00
Bokuan Li
ea091f006a Adjusted wording in Haar. 2026-06-20 10:13:19 -04:00
Bokuan Li
094320ef29 Cleaned up MCT in measure. 2026-06-20 10:11:25 -04:00
Bokuan Li
242c7ebea1 Updated the Lebesgue non-negative integral formula. 2026-06-20 09:48:01 -04:00
Bokuan Li
9dae6324ef Updated remark for dominated convergence.
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2026-06-19 20:54:43 -04:00
Bokuan Li
2d75e7c029 Added MCT for convergence in measure. 2026-06-19 20:50:42 -04:00
Bokuan Li
8742c4f7cd Added MCT for convergence in measure.
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2026-06-19 20:34:15 -04:00
Bokuan Li
dc789884bc Typo.
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2026-06-19 17:42:31 -04:00
Bokuan Li
1722ddb933 Added the Vitali convergence theorem.
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2026-06-19 17:36:53 -04:00
Bokuan Li
a97be99b8a Fixed typos in the haar proof. 2026-06-19 13:01:06 -04:00
Bokuan Li
64788a5322 Added a variation bound for scalar measures. 2026-06-19 12:59:33 -04:00
Bokuan Li
9504125410 Added uniqueness of Haar.
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2026-06-18 21:00:12 -04:00
Bokuan Li
6487655eb3 Fixed typo. 2026-06-18 20:21:58 -04:00
Bokuan Li
b68c050225 Mised 3 factor.
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2026-06-17 23:50:56 -04:00
Bokuan Li
346b0bdfd2 Made more room. 2026-06-17 23:49:24 -04:00
Bokuan Li
a8eed2a9ba ACTUALLY added the Haar measure.
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2026-06-17 23:46:13 -04:00
Bokuan Li
7a678b9efe Added existence of the Haar measure.
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2026-06-17 23:44:23 -04:00
Bokuan Li
4028f13e04 Added more facts about topological groups. 2026-06-17 20:27:35 -04:00
Bokuan Li
50d4a326db Slight adjustment to topological groups.
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2026-06-17 17:53:04 -04:00
Bokuan Li
f29c3cdeb7 More typo fixes.
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2026-06-17 17:21:36 -04:00
Bokuan Li
66d4a9ef3e Funny typo.
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2026-06-17 17:19:35 -04:00
Bokuan Li
6d84f0ea47 Performed housekeeping for topological groups.
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2026-06-17 17:17:37 -04:00
Bokuan Li
597a92b006 Adjusted wording for the sequential statement.
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2026-06-16 21:09:48 -04:00
Bokuan Li
ff2218c79b Fixed stack exchange citation. 2026-06-16 15:17:37 -04:00
Bokuan Li
d5d03954df Slight typographic adjustment. 2026-06-16 13:45:06 -04:00
Bokuan Li
c31994b247 Fixed awkward phrasing.
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2026-06-16 13:43:42 -04:00
Bokuan Li
76107709a8 Added a description of weak-* convergence in the case of bounded Borel functions. 2026-06-16 13:42:54 -04:00
Bokuan Li
f456f79891 Fleshed out the dual of measure spaces.
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2026-06-16 13:25:40 -04:00
Bokuan Li
07d8419fe0 Added duality result for spaces of measures. 2026-06-16 13:10:24 -04:00
Bokuan Li
845e616453 Fixed typos in the sequence space duality result. 2026-06-16 12:35:36 -04:00
Bokuan Li
49e4e15649 Added duality for the sequence spaces. 2026-06-16 12:23:51 -04:00
Bokuan Li
b9d67bfb82 Added mental gymnastics for lp direct sums.
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2026-06-15 22:52:25 -04:00
Bokuan Li
6c6522a1de Added l^p sequence spaces.
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2026-06-15 21:57:37 -04:00
Bokuan Li
dadddc4663 Added section regarding the duality of L^p spaces. 2026-06-15 21:47:49 -04:00
Bokuan Li
35efec2d90 Updated the separable dual proposition. 2026-06-15 14:16:32 -04:00
Bokuan Li
9f05b9dabd Fixed a handful of typos. 2026-06-15 00:17:03 -04:00
Bokuan Li
5b1e0f86e6 Added missing justification.
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2026-06-14 23:09:35 -04:00
Bokuan Li
33c6a6775d Fixed typos.
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2026-06-14 22:59:26 -04:00
Bokuan Li
b2ef9f2736 Added the Vitali-Hahn-Saks theorem.
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2026-06-14 22:55:23 -04:00
Bokuan Li
1ec807a9ca Removed pretentiousness. 2026-06-14 21:29:15 -04:00
Bokuan Li
16baef24e7 Oxford? comma. 2026-06-14 21:26:17 -04:00
Bokuan Li
b8df875d0f Actually added the Radon-Nikodym theorem.
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2026-06-14 21:24:26 -04:00
Bokuan Li
754cba965b Added the Radon-Nikodym theorem for finite measures.
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2026-06-14 21:20:35 -04:00
Bokuan Li
df1d959331 Added the basics of Hilbert spaces.
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2026-06-14 17:01:52 -04:00
Bokuan Li
9ec4eea839 Added the method of complex interpolation.
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2026-06-10 23:39:46 -04:00
Bokuan Li
1c211eac9a Housekeeping. 2026-06-10 15:16:43 -04:00
Bokuan Li
60c2144e9e Added a bit of interpolation spaces.
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2026-06-09 22:10:48 -04:00
Bokuan Li
4f613e6d40 Added Hadamard's Three Lines Lemma. 2026-06-09 21:00:52 -04:00