Commit Graph
99 Commits
Author SHA1 Message Date
Bokuan Li 856f7d7be5 Added the start to operator systems.
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2026-10-03 19:09:48 -04:00
Bokuan Li 6fe1d211ef Adjusted GNS. 2026-10-02 15:39:03 -04:00
Bokuan Li 92ca61f3bc Adjustments. 2026-09-30 14:46:46 -04:00
Bokuan Li ef8baafa82 More corrections.
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2026-09-26 16:33:24 -04:00
Bokuan Li 1cea2d3530 Revisions. 2026-09-26 16:29:13 -04:00
Bokuan Li a67e55f88d Updated GNS. 2026-09-26 16:05:14 -04:00
Bokuan Li acd81ad818 First draft of L1 representations. 2026-09-26 14:56:57 -04:00
Bokuan Li ff7031a4ae RETRACTION: wrong word used.
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2026-09-24 21:31:39 -04:00
Bokuan Li 864586a997 Oopsies 2026-09-24 11:56:58 -04:00
Bokuan Li 8c090f3c93 Slight adjustments. 2026-09-22 10:38:12 -04:00
Bokuan Li 8ca99d86ff Consolidating. 2026-09-21 20:37:28 -04:00
Bokuan Li f020a2037d Dilation situation. 2026-09-15 09:55:31 -04:00
Bokuan Li 16a35e6e2d Added semester notes. 2026-09-10 14:13:29 -04:00
Bokuan Li 0f23d46450 Typo fixes. 2026-09-01 15:41:00 -04:00
Bokuan Li f165b4fd2d Added citation for the type 1 proof.
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2026-08-27 20:30:50 -04:00
Bokuan Li f340ab9a29 Second draft of B(H).
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2026-08-27 18:20:28 -04:00
Bokuan Li dc9c66fe22 First draft of B(H). 2026-08-27 17:36:32 -04:00
Bokuan Li 51d4752f4a Final review pass.
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2026-08-26 20:44:58 -04:00
Bokuan Li 67ccd97ac5 Another revision. 2026-08-26 19:55:34 -04:00
Bokuan Li 4d7291bc9e Typo fixes in the type decomposition section. 2026-08-26 19:32:11 -04:00
Bokuan Li fbf94061cb Typo fixes in projection section. 2026-08-26 19:26:51 -04:00
Bokuan Li 1490514227 First draft of type decomposition. 2026-08-26 19:25:58 -04:00
Bokuan Li 8f0998d52f Added projections.
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2026-08-24 17:41:04 -04:00
Bokuan Li 881f4a4746 Editing. 2026-08-20 16:25:48 -04:00
Bokuan Li b3d3620ec9 Added representation of commutative von Neumann algebras. 2026-08-20 15:08:07 -04:00
Bokuan Li f65e49fccf Added some linfty.
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2026-08-18 21:47:50 -04:00
Bokuan Li e1fd4219a5 Added some applications of the $L^\infty$ functional calculus. 2026-08-18 14:28:00 -04:00
Bokuan Li 5503003c92 Updated the spectral theorem.
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2026-08-17 00:24:34 -04:00
Bokuan Li 6cf96d9803 Fixed up spectral.
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2026-08-16 17:34:03 -04:00
Bokuan Li 0aa8e956f5 Fixed up the L^\infty functional calculus section.
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2026-08-16 16:22:23 -04:00
Bokuan Li 1b8d380eeb First typo fix of spectral II. 2026-08-16 16:18:08 -04:00
Bokuan Li fa66eb73c9 First draft of spectral theorem II. 2026-08-16 16:11:38 -04:00
Bokuan Li a98ff324ac Added another draft of the Borel functional calculus.
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2026-08-15 16:10:55 -04:00
Bokuan Li 51a74243a0 Added the spectral integral isomorphism. 2026-08-15 15:34:26 -04:00
Bokuan Li 0cecf7a27a Fixed small typos.
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2026-08-14 20:54:09 -04:00
Bokuan Li 9530f806b1 Fixed some typos.
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2026-08-14 20:42:33 -04:00
Bokuan Li 421233bf4d Added first draft of the Borel functional calculus.
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2026-08-14 20:28:23 -04:00
Bokuan Li b51f12a338 Added the extended inverse Gelfand transform. 2026-08-14 20:10:47 -04:00
Bokuan Li 22a8d18845 Added trolling. 2026-08-12 22:40:04 -04:00
Bokuan Li 05bc2c6820 Changed label format. 2026-08-11 18:20:09 -04:00
Bokuan Li 2177baf09d Added the Kaplansky Density Theorem.
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2026-08-11 16:18:48 -04:00
Bokuan Li 6a53d4d107 Added a continuity result in strong operator topology. 2026-08-11 13:40:24 -04:00
Bokuan Li 5d8a956d0c Added the bicommutant theorem.
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2026-08-10 16:03:07 -04:00
Bokuan Li 56d081628f Updated citation on the existence of projections. 2026-08-09 16:08:57 -04:00
Bokuan Li 575cd66ad8 Added the existence of projections.
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2026-08-09 15:40:56 -04:00
Bokuan Li 1bc1b17fee Added elementary properties of adjoint maps.
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2026-08-08 19:39:18 -04:00
Bokuan Li ae2fc8147f Added basic topology facts about B(H).
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2026-08-08 16:01:28 -04:00
Bokuan Li 8a9ecc85f3 Added a bit of von Neumann. 2026-08-08 15:49:56 -04:00
Bokuan Li 8efc71c1a1 Fixed some typos.
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2026-08-08 15:06:50 -04:00
Bokuan Li bc1aea01b3 Added quotients. 2026-08-08 14:56:27 -04:00