Commit Graph

60 Commits

Author SHA1 Message Date
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
dadddc4663 Added section regarding the duality of L^p spaces. 2026-06-15 21:47:49 -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
4ba2e76b44 Added the principal logarithm. 2026-05-11 16:11:33 -04:00
Bokuan Li
7e6e37d3e8 Housekeeping. 2026-05-06 16:41:51 -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
1e53581113 Added bornological spaces. 2026-05-02 15:59:03 -04:00
Bokuan Li
caf7790b15 Fixed typo in Cauchy in measure. 2026-05-01 13:29:36 -04:00
Bokuan Li
9259cd1d86 Added notation pages for major sections. 2026-04-23 02:56:47 -04:00
Bokuan Li
780d5d362e Fixed typo in the Singer representation remark.
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2026-03-20 00:13:08 -04:00
Bokuan Li
1d9f537b86 Added missing citation for the C0 Riesz representation theorem.
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2026-03-20 00:05:57 -04:00
Bokuan Li
aa4756e941 Adjusted citation formats. Moved citation off of named theorems if possible.
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2026-03-19 23:58:16 -04:00
Bokuan Li
f9275656f4 Added a remark on the Singer representation theorem.
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2026-03-19 23:44:32 -04:00
Bokuan Li
c21b16d336 Added the Singer representation theorem. 2026-03-19 23:38:04 -04:00
Bokuan Li
9ce4986002 Added Fubini's theorem.
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2026-03-19 12:05:58 -04:00
Bokuan Li
fdd4d752e9 Added the algebraic tensor product. 2026-03-18 14:16:55 -04:00
Bokuan Li
f25600cbd3 More typo fixes.
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2026-03-17 15:34:02 -04:00
Bokuan Li
c26e3fdfcb Minor typo fix.
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2026-03-17 15:32:44 -04:00
Bokuan Li
dd49a42b4a Typo fixes.
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2026-03-17 15:30:41 -04:00
Bokuan Li
16e6beb117 Replaced mentions of normed spaces to normed vector spaces.
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2026-03-17 15:18:31 -04:00
Bokuan Li
37a5ce14bf Added the Bochner integral. 2026-03-17 15:16:13 -04:00
Bokuan Li
ae69a73fba Fixed typo in isometry proof.
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2026-03-16 21:10:21 -04:00
Bokuan Li
b591904469 Added the dual of c0.
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2026-03-16 21:05:12 -04:00
Bokuan Li
69c4e5e030 Added vector lattices. 2026-03-16 16:01:07 -04:00
Bokuan Li
8e7e55e8b3 Added monotone convergence for LSC functions.
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2026-03-15 22:13:55 -04:00
Bokuan Li
06f7874de3 Moved Radon measures to their own section. 2026-03-15 20:12:14 -04:00
Bokuan Li
b5126e965b Added facts about vector measures. 2026-03-15 19:30:28 -04:00
Bokuan Li
4687e9e4fc Added Lusin's theorem. 2026-03-14 19:55:29 -04:00
Bokuan Li
3778616075 Added Egoroff's theorem. 2026-03-14 18:08:06 -04:00
Bokuan Li
d3d5dc62e1 Added convergence in measure. 2026-03-14 17:54:58 -04:00
Bokuan Li
99f57be39e Housekeeping. 2026-03-06 14:55:54 -05:00
Bokuan Li
5034bc4220 Cleanup 2026-03-06 14:06:15 -05:00
Bokuan Li
6461ef4ea7 Bookkeeping. 2026-01-26 17:58:42 -05:00
Bokuan Li
b16666e74e Added basic theory of Lp spaces, alongside some integral stuff. 2026-01-26 17:47:10 -05:00
Bokuan Li
67184cbb0c Added regularity properties for Radon measures. 2026-01-26 15:14:27 -05:00
Bokuan Li
6eb34feb51 Added Riesz. 2026-01-25 18:59:57 -05:00
Bokuan Li
f9d7a448bf Defined the Lebesgue integral. 2026-01-25 14:10:21 -05:00
Bokuan Li
234f158663 Added quotient topology. 2026-01-22 18:47:33 -05:00
Bokuan Li
61a8f3d37b Added integration of non-negative functions. 2026-01-22 18:12:10 -05:00