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198 Commits

Author SHA1 Message Date
Bokuan Li
061a4f3034 More prose corrections.
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2026-06-25 19:22:37 -04:00
Bokuan Li
98f96b2af1 Performed more housekeeping for the Legendre transform.
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2026-06-25 19:16:16 -04:00
Bokuan Li
b7f93c1110 Updated the legendre corollary.
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2026-06-25 13:32:44 -04:00
Bokuan Li
2c4a8c9d22 Typo fixes for the separable dual lemma.
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2026-06-25 13:17:05 -04:00
Bokuan Li
83072f4ba4 Adjusted the Legendre sectoin.
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2026-06-25 13:03:51 -04:00
Bokuan Li
c19aaf7fe3 Fixed infinity problem. 2026-06-25 12:23:40 -04:00
Bokuan Li
d857ff2bb7 Adjusted Fenchel's inequality. 2026-06-25 12:04:16 -04:00
Bokuan Li
a1abb656f9 Updated convex characterisation. 2026-06-25 11:44:47 -04:00
Bokuan Li
bc44e55e1d Renamed section. 2026-06-25 11:44:36 -04:00
Bokuan Li
373bc8a223 Adjusted wording in Fenchel-Moreau.
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2026-06-24 23:21:52 -04:00
Bokuan Li
460c84a483 Fixed up notation mistake.
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2026-06-24 22:36:08 -04:00
Bokuan Li
177ed32433 More typo fixes.
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2026-06-24 22:09:17 -04:00
Bokuan Li
c81b77a721 Added the separable corollary to the Legendre transform.
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2026-06-24 22:06:22 -04:00
Bokuan Li
c897b3022e Fixed sign typo in Fenchel-Moreau.
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2026-06-24 21:55:34 -04:00
Bokuan Li
81e4ef6ffe Updated notation and formulation in the Fenchel Moreau theorem.
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2026-06-24 21:44:58 -04:00
Bokuan Li
9b6385cc16 Fixed typo in Fenchel-Moreau.
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2026-06-24 19:48:55 -04:00
Bokuan Li
32ba2483ad Added the Legendre transform.
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2026-06-24 18:29:26 -04:00
Bokuan Li
a9890cbcab Added the subdifferential. 2026-06-24 14:18:59 -04:00
Bokuan Li
b20ae09a0c Fixed up convention in convex functions. 2026-06-24 14:18:45 -04:00
Bokuan Li
cddd7a4d55 Cleaned up citation stlye changes. 2026-06-24 14:18:27 -04:00
Bokuan Li
c1b7a1a78e Sharpened the Hahn-Banach theorem. 2026-06-24 14:05:23 -04:00
Bokuan Li
bbd017f76c Upgraded the separable dual lemma. 2026-06-24 12:28:41 -04:00
Bokuan Li
eec22ac433 Minor typo in UI.
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2026-06-23 23:37:05 -04:00
Bokuan Li
8b5da0b349 Added elementary facts about conve functions.
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2026-06-23 22:38:23 -04:00
Bokuan Li
ea097e46e8 Minor adjustments. 2026-06-22 20:07:17 -04:00
Bokuan Li
f107df48bf MAJOR RETRACTION IN UNIFORMITY DEFINING PROPOSITION. 2026-06-21 21:56:28 -04:00
Bokuan Li
84fb052c78 Fixed more typos for Scheffe.
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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.
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2026-06-20 21:29:53 -04:00
Bokuan Li
2d75e7c029 Added MCT for convergence in measure. 2026-06-19 20:50:42 -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
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