Commit Graph
492 Commits
Author SHA1 Message Date
Bokuan Li 5abdf6ab3d Fixed wrong reference.
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2026-06-28 21:30:09 -04:00
Bokuan Li 8f06eca274 One more remark.
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2026-06-28 20:48:46 -04:00
Bokuan Li 145f3193be Minor sharpening of statements.
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2026-06-28 20:22:35 -04:00
Bokuan Li 2423cff867 Minor adjustment.
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2026-06-28 20:11:36 -04:00
Bokuan Li 3d1e095e82 Fixed typos in the gluing lemma.
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2026-06-28 20:10:25 -04:00
Bokuan Li 4226adf856 Added first darft of gluing lemma for measurable functions. 2026-06-28 19:50:05 -04:00
Bokuan Li 3a4f4b46e8 Added the theory of admissible approximant functions. 2026-06-28 19:29:22 -04:00
Bokuan Li 121033cfb6 Fixed label typo. 2026-06-28 14:35:23 -04:00
Bokuan Li 1d740724b4 Strengthened the simple function approximations. 2026-06-28 14:33:32 -04:00
Bokuan Li 4acc8fdf31 Un-retracted some things. 2026-06-28 12:05:22 -04:00
Bokuan Li bbff684bd1 Polish correction. 2026-06-28 12:04:51 -04:00
Bokuan Li 55bd2e4859 Fixed typo.
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2026-06-27 22:41:48 -04:00
Bokuan Li d8f56ef537 RETRACTION: SEPARABILITY REQUIRED TO DEFINE CONVERGENCE IN MEASURE 2026-06-27 22:38:39 -04:00
Bokuan Li ce52ac4b63 Edited the open preimage functions. 2026-06-27 22:35:32 -04:00
Bokuan Li 4616ac2861 First draft for open preimage functions. 2026-06-27 22:06:50 -04:00
Bokuan Li 80f79fb30d Added preimage functions. 2026-06-27 18:41:06 -04:00
Bokuan Li 48a0e63f61 Added elementary facts about localisable measure spaces. 2026-06-27 17:11:57 -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 91752ee561 Added compact definition.
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2026-06-26 00:17:28 -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 4b404d40a6 Updated the A-A theorem to include convergence on a dense subset.
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2026-06-25 13:58:38 -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 7777095461 Added citations for elements taken from Cohn's Measure Theory.
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2026-06-24 23:28:30 -04:00
Bokuan Li 373bc8a223 Adjusted wording in Fenchel-Moreau.
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2026-06-24 23:21:52 -04:00
Bokuan Li e50cc6fb46 Updated gitignore. 2026-06-24 23:14:50 -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 4764ed2fc4 Added Clarke to the list of references. 2026-06-24 14:05:32 -04:00
Bokuan Li c1b7a1a78e Sharpened the Hahn-Banach theorem. 2026-06-24 14:05:23 -04:00