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b68c05022594bb44f01ec920c8f1eb0da0da2be5
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114 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
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
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
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
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
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
719e9a1f7a Added complexification.
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2026-05-23 21:19:04 -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
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
57c32a3c5e Updated spelling of barreled to barrelled for consistency. 2026-05-06 16:50:37 -04:00
Bokuan Li
7e6e37d3e8 Housekeeping. 2026-05-06 16:41:51 -04:00
Bokuan Li
fdc5e43d82 Added the separate and joint continuity theorem.
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2026-05-06 16:31:41 -04:00
Bokuan Li
5afdc1fcb9 Adjusted wording of Banach-Steinhaus.
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2026-05-06 00:32:24 -04:00
Bokuan Li
07fe8b35c0 Added the Banach-Steinhaus theorem.
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2026-05-06 00:27:05 -04:00
Bokuan Li
ce56f5d167 Adjusted organisation in the TVS chapter. 2026-05-05 21:58:54 -04:00
Bokuan Li
97372173e1 Fixed regex incident.
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2026-05-05 02:00:05 -04:00
Bokuan Li
0f2e69d1f9 Polished A-A and added new lines for broken enumerates.
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2026-05-05 01:50:35 -04:00
Bokuan Li
227436a9c2 Added saturated ideals. 2026-05-04 17:54:03 -04:00
Bokuan Li
e3c16a98b4 Updated the notation for convex and circled hulls. 2026-05-04 17:15:54 -04:00
Bokuan Li
60115baa41 Replaced references to upward-directed families with ideals. 2026-05-04 17:08:01 -04:00
Bokuan Li
e4da295fd9 Added introduction to polars. 2026-05-04 16:04:09 -04:00
Bokuan Li
b2af2d8afb Fixed typo in dual systems.
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2026-05-03 22:57:48 -04:00
Bokuan Li
ca5e81fdbc Started duality.
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2026-05-03 22:49:27 -04:00
Bokuan Li
ba5830d5b6 Added associated space notation.
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2026-05-02 16:00:33 -04:00
Bokuan Li
1e53581113 Added bornological spaces. 2026-05-02 15:59:03 -04:00