Commit Graph

345 Commits

Author SHA1 Message Date
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