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bf0107f15d04229d25c3841aabad3f3bda35c4d2
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40 Commits

Author SHA1 Message Date
Bokuan Li
bf0107f15d Oopsies daisies.
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2026-07-07 20:50:19 -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
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
60544ea6a0 Added some spectrum gruntwork. 2026-06-30 16:12:33 -04:00
Bokuan Li
99d772d1c8 Added the Riesz decomposition.
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2026-06-05 21:57:02 -04:00
Bokuan Li
09a94756ea Added basics of C*-algebras.
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2026-06-04 17:54:06 -04:00
Bokuan Li
2444406ec1 Added facts about C_0. 2026-06-04 16:31:26 -04:00
Bokuan Li
13a0e07b72 Fixed some numbering problems. 2026-06-04 13:41:05 -04:00
Bokuan Li
ebead6c022 Added the unitisation. 2026-06-04 13:39:55 -04:00
Bokuan Li
6441352421 Fixed wrong proof marker.
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2026-06-03 17:24:30 -04:00
Bokuan Li
677a396e24 Fixed missing citation.
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2026-06-03 17:13:07 -04:00
Bokuan Li
6c9c479198 Adjusted prose in example facts.
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2026-06-03 17:08:55 -04:00
Bokuan Li
668679063b Added some example facts. 2026-06-03 16:56:40 -04:00
Bokuan Li
f72f815c72 Added basic facts about the Gelfand transform. 2026-06-03 15:44:13 -04:00
Bokuan Li
56f3ae37f7 Slight adjustments in known results. 2026-06-03 14:37:13 -04:00
Bokuan Li
2c1169e55a Added a handful of examples.
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2026-06-02 21:39:59 -04:00
Bokuan Li
42433c40ca Upgraded prose.
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2026-06-02 20:26:07 -04:00
Bokuan Li
f4bcc76bd0 Added the GKZ Theorem.
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2026-06-02 20:21:07 -04:00
Bokuan Li
54a518e9e2 Added setup for the GKZ theorem. 2026-06-02 19:11:59 -04:00
Bokuan Li
44d8bbd4da Added basic facts on maximal ideals. 2026-06-02 15:40:18 -04:00
Bokuan Li
c189b7da1a Fixed typo.
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2026-06-01 23:55:52 -04:00
Bokuan Li
787f89e3a6 Fixed wrong theorem name.
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2026-06-01 17:30:38 -04:00
Bokuan Li
f071a4ff31 Added lemmas on the identity component of the general linear group. 2026-06-01 17:30:03 -04:00
Bokuan Li
313f071f20 Added the spectral mapping theorem.
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2026-06-01 16:38:02 -04:00
Bokuan Li
fb9febc01b Fixed typo in notations. 2026-06-01 00:05:45 -04:00
Bokuan Li
5cf2bd9f10 Added missing assumption.
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2026-05-31 23:14:56 -04:00
Bokuan Li
bfa5aee60e Added the holomorphic functional calculus.
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2026-05-31 23:12:15 -04:00
Bokuan Li
85e73baf76 Added citation. 2026-05-31 19:30:12 -04:00
Bokuan Li
3a07b5331e Added basics of Banach algebras. 2026-05-31 19:26:20 -04:00
Bokuan Li
538a02ba37 Added the inverse function theorem.
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2026-05-10 19:42:25 -04:00