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843631b024b216bbdbeac5e6e32652da2a737723
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178 Commits

Author SHA1 Message Date
Bokuan Li
843631b024 Added the compact null sequence lemma. 2026-07-17 14:29:04 -04:00
Bokuan Li
fe557de4a6 Various additions. 2026-07-16 13:49:27 -04:00
Bokuan Li
42eeae1679 Every product of nuclear spaces is nuclear.
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2026-07-15 17:16:40 -04:00
Bokuan Li
1038594584 Sums of nuclear spaces are nuclear. 2026-07-15 17:03:51 -04:00
Bokuan Li
db79f11991 Quotients of nuclear spaces are nuclear. 2026-07-15 16:28:53 -04:00
Bokuan Li
11c969be61 Subspaces of nuclear spaces are nuclear. 2026-07-15 15:14:02 -04:00
Bokuan Li
d967ed933e Updated nuclear spaces.
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2026-07-14 20:48:33 -04:00
Bokuan Li
f80c788ca2 Added nuclear spaces.
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2026-07-14 20:31:59 -04:00
Bokuan Li
d1ddf9f64b Added nuclear operators.
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2026-07-13 15:36:06 -04:00
Bokuan Li
84316a2059 Fiest draft of nuclear operators. 2026-07-13 15:26:05 -04:00
Bokuan Li
97150879d7 Oopsies daisies.
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2026-07-10 13:19:12 -04:00
Bokuan Li
965a89d63a Fix typo in hahn-banach.
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2026-07-09 13:47:24 -04:00
Bokuan Li
67b00db276 Fix typo.
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2026-07-09 12:47:54 -04:00
Bokuan Li
e5ef0d51df Added states.
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2026-07-08 15:02:23 -04:00
Bokuan Li
c7cca8820c Added Krein-Milman for measures. 2026-07-07 20:49:57 -04:00
Bokuan Li
de9b6fb813 Added characterisation of positive linear functionals.
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2026-07-07 17:26:52 -04:00
Bokuan Li
f5ebcd7979 Reworked the order chapter. 2026-07-07 14:40:27 -04:00
Bokuan Li
2ce66064fe Added continuity of homomorphisms.
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2026-07-07 12:09:59 -04:00
Bokuan Li
86aba8ee4b Minor adjustments. 2026-07-06 12:36:34 -04:00
Bokuan Li
8090f060d3 Added local L^p spaces. 2026-06-30 14:13:58 -04:00
Bokuan Li
65a2b4cef4 FIxed up lattices.
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2026-06-29 12:37:13 -04:00
Bokuan Li
4acc8fdf31 Un-retracted some things. 2026-06-28 12:05:22 -04:00
Bokuan Li
d8f56ef537 RETRACTION: SEPARABILITY REQUIRED TO DEFINE CONVERGENCE IN MEASURE 2026-06-27 22:38:39 -04:00
Bokuan Li
3d9c47bda1 Minor housekeeping. 2026-06-27 14:12:40 -04:00
Bokuan Li
968fbe6eba Added the support function.
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2026-06-27 13:17:45 -04:00
Bokuan Li
eed3a342e4 Typo fixes.
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2026-06-26 12:59:13 -04:00
Bokuan Li
369a1e72db Adjustment in Fenchl-Moreau. 2026-06-26 12:57:30 -04:00
Bokuan Li
03e7899904 Added the Mackey-Arens theorem (for real).
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2026-06-26 00:45:59 -04:00
Bokuan Li
fbdf280f11 Fixed gap in maximum modulus strip. 2026-06-26 00:44:31 -04:00
Bokuan Li
9c08e0a525 Added the Mackey-Arens theorem. 2026-06-26 00:16:36 -04:00
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