Commit Graph

385 Commits

Author SHA1 Message Date
Bokuan Li
709ce33a8d Minor cleanup.
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2026-07-08 15:16:14 -04:00
Bokuan Li
e5ef0d51df Added states.
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2026-07-08 15:02:23 -04:00
Bokuan Li
0a288cda5d Updated main page.
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2026-07-07 22:08:29 -04:00
Bokuan Li
bf0107f15d Oopsies daisies.
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2026-07-07 20:50:19 -04:00
Bokuan Li
c7cca8820c Added Krein-Milman for measures. 2026-07-07 20:49:57 -04:00
Bokuan Li
22ed76cb00 Word massaging.
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2026-07-07 17:40:49 -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
f4e5004e8c Added remark. 2026-07-07 12:34:05 -04:00
Bokuan Li
f3c2c97f3b Added order decomposition for C*-algebras. 2026-07-07 12:33:11 -04:00
Bokuan Li
2ce66064fe Added continuity of homomorphisms.
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2026-07-07 12:09:59 -04:00
Bokuan Li
f613e65d10 Removed parts from Zhu citations. 2026-07-07 11:39:54 -04:00
Bokuan Li
86aba8ee4b Minor adjustments. 2026-07-06 12:36:34 -04:00
Bokuan Li
2cf172fa34 Fixed typo.
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2026-07-04 12:53:34 -04:00
Bokuan Li
9963459363 Finished lecture 11.
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2026-07-03 16:55:00 -04:00
Bokuan Li
26fdb527ce Added more facts about the positive square root.
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2026-07-03 16:20:41 -04:00
Bokuan Li
35e9550ff2 Added the continuous functional calculus. 2026-07-03 15:21:33 -04:00
Bokuan Li
683b822e7e Added Gelfand Naimark.
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2026-07-02 14:02:26 -04:00
Bokuan Li
dd62fbc0f4 Label typo? 2026-07-02 13:12:05 -04:00
Bokuan Li
1caa2785ef Small adjustments.
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2026-07-01 00:04:11 -04:00
Bokuan Li
89ec2234be Fixed typo.
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2026-06-30 19:34:11 -04:00
Bokuan Li
1f9e0bea78 Added extremely disconnected spaces.
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2026-06-30 19:32:42 -04:00
Bokuan Li
36f5b22042 Added localisable order completeness.
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2026-06-30 16:47:50 -04:00
Bokuan Li
60544ea6a0 Added some spectrum gruntwork. 2026-06-30 16:12:33 -04:00
Bokuan Li
e19a5e3ad0 Swapped in vocabulary.
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2026-06-30 14:14:44 -04:00
Bokuan Li
8090f060d3 Added local L^p spaces. 2026-06-30 14:13:58 -04:00
Bokuan Li
98127388ec Retracted localisable version of Radon-Nikodym. 2026-06-30 13:42:43 -04:00
Bokuan Li
baa048507b Added the localisable version of the radon-nikodym theorem.
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2026-06-29 21:29:57 -04:00
Bokuan Li
1ab81b49bc RETRACTION ON LCH EMBARRASSING TYPO
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2026-06-29 21:07:59 -04:00
Bokuan Li
38099f1b19 Added elements of localisable measures. 2026-06-29 20:55:01 -04:00
Bokuan Li
831acc66cc Added gluing for measures in terms of scaffoldings. 2026-06-29 19:29:18 -04:00
Bokuan Li
26c4bbbb51 LCH typo fix? 2026-06-29 19:09:55 -04:00
Bokuan Li
ff22fad2f8 Updated the existing system to accomodate scaffolds.
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2026-06-29 17:43:02 -04:00
Bokuan Li
3ba0eee08d Introduced scaffold to localisable measure spaces. 2026-06-29 16:57:59 -04:00
Bokuan Li
671e8984c7 Added the scaffold. 2026-06-29 16:49:35 -04:00
Bokuan Li
a11cfe4e04 Book keeping. 2026-06-29 16:34:06 -04:00
Bokuan Li
65a2b4cef4 FIxed up lattices.
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2026-06-29 12:37:13 -04:00
Bokuan Li
d4578960f3 Adjustments added to LCH spaces.
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2026-06-29 12:28:30 -04:00
Bokuan Li
17154547df More minor adjustments.
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2026-06-28 23:11:52 -04:00
Bokuan Li
35be74f8af Refined the approximation argument.
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2026-06-28 23:07:23 -04:00
Bokuan Li
a7904bd32c More typo fix.
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2026-06-28 22:48:14 -04:00
Bokuan Li
06d3f994f6 Style adjustments in gluing lemma.
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2026-06-28 21:45:48 -04:00
Bokuan Li
c484cd172b Typo fix.
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2026-06-28 21:33:06 -04:00
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