Commit Graph
100 Commits
Author SHA1 Message Date
Bokuan Li 15dec0e93f Fixed typo in LCH.
Compile Project / Compile (push) Successful in 37s
2026-06-23 15:11:01 -04:00
Bokuan Li ea097e46e8 Minor adjustments. 2026-06-22 20:07:17 -04:00
Bokuan Li adc5d1828a Fixed missing macro.
Compile Project / Compile (push) Successful in 33s
2026-06-22 13:27:12 -04:00
Bokuan Li 707b5310da Cleaned up convergence in measure.
Compile Project / Compile (push) Successful in 38s
2026-06-22 13:18:17 -04:00
Bokuan Li 05e9571794 Updated formulation of convergence in measure.
Compile Project / Compile (push) Successful in 39s
2026-06-22 13:06:15 -04:00
Bokuan Li 3bf3f2a85c Adjusted notation for spaces of measurable functions. 2026-06-22 12:55:37 -04:00
Bokuan Li b52626f3a1 Added a few points about Cauchy completeness of metric spaces. 2026-06-22 12:47:25 -04:00
Bokuan Li 47b8f198e1 Clamped the Ky Fan metric. 2026-06-22 12:33:43 -04:00
Bokuan Li 8cbd165df3 Updated main description.
Compile Project / Compile (push) Successful in 39s
2026-06-21 23:28:31 -04:00
Bokuan Li a6cd3c7a1b Fixed definition of LCH spaces.
Compile Project / Compile (push) Successful in 40s
2026-06-21 23:26:35 -04:00
Bokuan Li 3a8db01be5 Added uniform description for convergence in measure.
Compile Project / Compile (push) Successful in 37s
2026-06-21 21:58:14 -04:00
Bokuan Li f107df48bf MAJOR RETRACTION IN UNIFORMITY DEFINING PROPOSITION. 2026-06-21 21:56:28 -04:00
Bokuan Li a57686be8f Added notation for space of measurable functions. 2026-06-21 21:08:13 -04:00
Bokuan Li 66dd4b0068 Fixed typo in Lebesgue lemma. 2026-06-21 20:53:43 -04:00
Bokuan Li 84fb052c78 Fixed more typos for Scheffe.
Compile Project / Compile (push) Successful in 40s
2026-06-21 00:29:02 -04:00
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.
Compile Project / Compile (push) Successful in 37s
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.
Compile Project / Compile (push) Successful in 35s
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.
Compile Project / Compile (push) Successful in 37s
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.
Compile Project / Compile (push) Successful in 38s
2026-06-19 20:34:15 -04:00
Bokuan Li dc789884bc Typo.
Compile Project / Compile (push) Successful in 38s
2026-06-19 17:42:31 -04:00
Bokuan Li 1722ddb933 Added the Vitali convergence theorem.
Compile Project / Compile (push) Successful in 33s
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.
Compile Project / Compile (push) Successful in 38s
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.
Compile Project / Compile (push) Successful in 41s
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.
Compile Project / Compile (push) Successful in 36s
2026-06-17 23:46:13 -04:00
Bokuan Li 7a678b9efe Added existence of the Haar measure.
Compile Project / Compile (push) Successful in 37s
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.
Compile Project / Compile (push) Successful in 40s
2026-06-17 17:53:04 -04:00
Bokuan Li f29c3cdeb7 More typo fixes.
Compile Project / Compile (push) Successful in 38s
2026-06-17 17:21:36 -04:00
Bokuan Li 66d4a9ef3e Funny typo.
Compile Project / Compile (push) Successful in 38s
2026-06-17 17:19:35 -04:00
Bokuan Li 6d84f0ea47 Performed housekeeping for topological groups.
Compile Project / Compile (push) Successful in 39s
2026-06-17 17:17:37 -04:00
Bokuan Li 597a92b006 Adjusted wording for the sequential statement.
Compile Project / Compile (push) Successful in 41s
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.
Compile Project / Compile (push) Successful in 33s
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.
Compile Project / Compile (push) Successful in 37s
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.
Compile Project / Compile (push) Successful in 32s
2026-06-15 22:52:25 -04:00
Bokuan Li 6c6522a1de Added l^p sequence spaces.
Compile Project / Compile (push) Successful in 37s
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.
Compile Project / Compile (push) Successful in 41s
2026-06-14 23:09:35 -04:00
Bokuan Li 33c6a6775d Fixed typos.
Compile Project / Compile (push) Successful in 46s
2026-06-14 22:59:26 -04:00
Bokuan Li b2ef9f2736 Added the Vitali-Hahn-Saks theorem.
Compile Project / Compile (push) Successful in 39s
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.
Compile Project / Compile (push) Successful in 36s
2026-06-14 21:24:26 -04:00
Bokuan Li 754cba965b Added the Radon-Nikodym theorem for finite measures.
Compile Project / Compile (push) Successful in 38s
2026-06-14 21:20:35 -04:00
Bokuan Li df1d959331 Added the basics of Hilbert spaces.
Compile Project / Compile (push) Successful in 33s
2026-06-14 17:01:52 -04:00
Bokuan Li 9ec4eea839 Added the method of complex interpolation.
Compile Project / Compile (push) Successful in 37s
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.
Compile Project / Compile (push) Successful in 35s
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
Bokuan Li 99d772d1c8 Added the Riesz decomposition.
Compile Project / Compile (push) Successful in 36s
2026-06-05 21:57:02 -04:00
Bokuan Li 09a94756ea Added basics of C*-algebras.
Compile Project / Compile (push) Successful in 34s
2026-06-04 17:54:06 -04:00
Bokuan Li 7ce835cef2 Added sneaky interpolation functor jokes. 2026-06-04 16:45:03 -04:00
Bokuan Li 2444406ec1 Added facts about C_0. 2026-06-04 16:31:26 -04:00
Bokuan Li 13a0e07b72 Fixed some numbering problems. 2026-06-04 13:41:05 -04:00
Bokuan Li ebead6c022 Added the unitisation. 2026-06-04 13:39:55 -04:00
Bokuan Li 6441352421 Fixed wrong proof marker.
Compile Project / Compile (push) Successful in 32s
2026-06-03 17:24:30 -04:00
Bokuan Li 677a396e24 Fixed missing citation.
Compile Project / Compile (push) Successful in 31s
2026-06-03 17:13:07 -04:00
Bokuan Li 6c9c479198 Adjusted prose in example facts.
Compile Project / Compile (push) Successful in 29s
2026-06-03 17:08:55 -04:00
Bokuan Li 668679063b Added some example facts. 2026-06-03 16:56:40 -04:00
Bokuan Li f72f815c72 Added basic facts about the Gelfand transform. 2026-06-03 15:44:13 -04:00
Bokuan Li 56f3ae37f7 Slight adjustments in known results. 2026-06-03 14:37:13 -04:00
Bokuan Li 2c1169e55a Added a handful of examples.
Compile Project / Compile (push) Successful in 38s
2026-06-02 21:39:59 -04:00
Bokuan Li 42433c40ca Upgraded prose.
Compile Project / Compile (push) Successful in 32s
2026-06-02 20:26:07 -04:00
Bokuan Li f4bcc76bd0 Added the GKZ Theorem.
Compile Project / Compile (push) Successful in 34s
2026-06-02 20:21:07 -04:00
Bokuan Li 54a518e9e2 Added setup for the GKZ theorem. 2026-06-02 19:11:59 -04:00
Bokuan Li 44d8bbd4da Added basic facts on maximal ideals. 2026-06-02 15:40:18 -04:00
Bokuan Li c189b7da1a Fixed typo.
Compile Project / Compile (push) Successful in 37s
2026-06-01 23:55:52 -04:00
Bokuan Li 787f89e3a6 Fixed wrong theorem name.
Compile Project / Compile (push) Successful in 28s
2026-06-01 17:30:38 -04:00
Bokuan Li f071a4ff31 Added lemmas on the identity component of the general linear group. 2026-06-01 17:30:03 -04:00
Bokuan Li 313f071f20 Added the spectral mapping theorem.
Compile Project / Compile (push) Successful in 31s
2026-06-01 16:38:02 -04:00
Bokuan Li fb9febc01b Fixed typo in notations. 2026-06-01 00:05:45 -04:00
Bokuan Li 639aa253cf Slightly adjusted notation.
Compile Project / Compile (push) Successful in 36s
2026-05-31 23:20:08 -04:00
Bokuan Li 5cf2bd9f10 Added missing assumption.
Compile Project / Compile (push) Successful in 38s
2026-05-31 23:14:56 -04:00
Bokuan Li bfa5aee60e Added the holomorphic functional calculus.
Compile Project / Compile (push) Successful in 35s
2026-05-31 23:12:15 -04:00
Bokuan Li 73951c9d4c Fixed typo with 1/2pi i. 2026-05-31 20:00:40 -04:00
Bokuan Li 85e73baf76 Added citation. 2026-05-31 19:30:12 -04:00
Bokuan Li 3a07b5331e Added basics of Banach algebras. 2026-05-31 19:26:20 -04:00
Bokuan Li fb8178b7ee Slight wording adjustments. 2026-05-31 15:53:32 -04:00
Bokuan Li 47145cdf58 Adjusted labeling of conditions for Banach-Steinhaus.
Compile Project / Compile (push) Successful in 26s
2026-05-30 20:40:38 -04:00
Bokuan Li edde66facc Various typo fixes.
Compile Project / Compile (push) Successful in 27s
2026-05-30 20:35:32 -04:00