Commit Graph
100 Commits
Author SHA1 Message Date
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
Bokuan Li 99d772d1c8 Added the Riesz decomposition.
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2026-06-05 21:57:02 -04:00
Bokuan Li 09a94756ea Added basics of C*-algebras.
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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.
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2026-06-03 17:24:30 -04:00
Bokuan Li 677a396e24 Fixed missing citation.
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2026-06-03 17:13:07 -04:00
Bokuan Li 6c9c479198 Adjusted prose in example facts.
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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.
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2026-06-02 21:39:59 -04:00
Bokuan Li 42433c40ca Upgraded prose.
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2026-06-02 20:26:07 -04:00
Bokuan Li f4bcc76bd0 Added the GKZ Theorem.
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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.
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2026-06-01 23:55:52 -04:00
Bokuan Li 787f89e3a6 Fixed wrong theorem name.
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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.
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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.
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2026-05-31 23:20:08 -04:00
Bokuan Li 5cf2bd9f10 Added missing assumption.
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2026-05-31 23:14:56 -04:00
Bokuan Li bfa5aee60e Added the holomorphic functional calculus.
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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.
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2026-05-30 20:40:38 -04:00
Bokuan Li edde66facc Various typo fixes.
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2026-05-30 20:35:32 -04:00
Bokuan Li 0cea712b96 Added Runge's theorem.
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2026-05-30 20:29:17 -04:00
Bokuan Li eef9ef89b0 Added some notations. 2026-05-28 13:03:41 -04:00
Bokuan Li 1d65f25d03 Added the one-point compactification. 2026-05-28 12:55:23 -04:00
Bokuan Li 5a4c9f5d0e Updated Alaoglu's theorem.
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2026-05-27 23:53:22 -04:00
Bokuan Li 02bd8479bc Added path lemma.
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2026-05-27 22:59:06 -04:00
Bokuan Li 5923b45f9d Added Urysohn Metrisation theorem and compactness theorems.
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2026-05-26 19:32:02 -04:00
Bokuan Li f6c5976873 Fixed some typos.
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2026-05-25 21:05:21 -04:00
Bokuan Li 047ffe4472 Added the complex conjugation.
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2026-05-25 20:59:22 -04:00
Bokuan Li 65fdc1cc8d Added the Stone-Weierstrass Theorem. 2026-05-25 20:38:20 -04:00
Bokuan Li 964cb2450a Typo fix.
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2026-05-25 17:16:54 -04:00
Bokuan Li 719e9a1f7a Added complexification.
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2026-05-23 21:19:04 -04:00
Bokuan Li a058df3163 Added more complex analysis. 2026-05-18 18:06:02 -04:00
Bokuan Li 85d1d78bda Added appropriate form of Taylor's formula. 2026-05-18 16:24:43 -04:00
Bokuan Li 3a0e5cc351 Fixed typo.
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2026-05-16 21:49:56 -04:00
Bokuan Li 44d122e052 Added definition of holomorphic functions.
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2026-05-16 21:42:56 -04:00
Bokuan Li 88d71d6654 Fixed small typos. 2026-05-16 13:06:48 -04:00
Bokuan Li 365c89e773 Added Fubini for RS integrals.
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2026-05-15 20:30:20 -04:00
Bokuan Li 3a8de41020 Added the homotopic version of Cauchy's theorem. 2026-05-15 19:31:39 -04:00
Bokuan Li 6fdf6a64fd Added uniform structures for completely regular spaces. Added calculus lemma.
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2026-05-15 00:39:41 -04:00
Bokuan Li c1a9e11dbb Fixed mistakes in FTC for path integrals.
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2026-05-13 16:29:09 -04:00
Bokuan Li 9f3c8a2e81 Added remark reflecting on past mistakes. 2026-05-13 15:21:46 -04:00
Bokuan Li 06b50c9b06 Adjusted statement of FTC for path integrals.
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2026-05-11 21:22:27 -04:00
Bokuan Li a4642a0128 Added FTC for path integrals.
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2026-05-11 21:21:26 -04:00
Bokuan Li 4ba2e76b44 Added the principal logarithm. 2026-05-11 16:11:33 -04:00
Bokuan Li 538a02ba37 Added the inverse function theorem.
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2026-05-10 19:42:25 -04:00
Bokuan Li 7fdf1a8d6e Added power series.
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2026-05-09 19:57:18 -04:00
Bokuan Li 8d881dfa97 Added the bipolar theorem. 2026-05-09 18:15:10 -04:00
Bokuan Li 2e00ac6f10 Adjusted the interchange of limits and derivaties.
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2026-05-08 18:51:09 -04:00
Bokuan Li 5f50dc1157 Updated the power rule to the non-symmetric generality.
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2026-05-08 18:36:44 -04:00
Bokuan Li 248c89240b Updated notation for higher derivatives. 2026-05-08 14:17:28 -04:00
Bokuan Li 277c2e2625 Added the theorem for interchanging limits and derivatives.
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2026-05-08 01:25:39 -04:00
Bokuan Li e8474bba3e Fixed equicontinuous formulation.
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2026-05-06 23:31:25 -04:00