Commit Graph
272 Commits
Author SHA1 Message Date
Bokuan Li 19e2d2df51 Typo fixes in Scheffe. 2026-06-21 00:24:59 -04:00
Bokuan Li 8c5400bf88 Adjusted the in measure version of DCT. 2026-06-21 00:22:48 -04:00
Bokuan Li 5ce01bd9f3 Added draft of Scheffe's lemma. 2026-06-21 00:21:11 -04:00
Bokuan Li 15fc3f430b Slight adjustments.
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2026-06-20 21:29:53 -04:00
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