Commit Graph
100 Commits
Author SHA1 Message Date
Bokuan Li 3e6600cd11 Thank you henry. 2026-09-29 17:59:51 -04:00
Bokuan Li b134e50126 Added some harmonic analysis. 2026-09-27 18:55:13 -04:00
Bokuan Li a932a4872d More typo fixes.
Compile Project / Compile (push) Successful in 53s
2026-09-26 16:34:57 -04:00
Bokuan Li ef8baafa82 More corrections.
Compile Project / Compile (push) Successful in 51s
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 da88b6e1c9 Final revision. 2026-09-26 15:29:08 -04:00
Bokuan Li 2d09d41e75 Revision. 2026-09-26 15:05:00 -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.
Compile Project / Compile (push) Successful in 1m0s
2026-09-24 21:31:39 -04:00
Bokuan Li 864586a997 Oopsies 2026-09-24 11:56:58 -04:00
Bokuan Li a471de2b23 Oopsies daisies. 2026-09-24 10:54:26 -04:00
Bokuan Li 03e0118d53 Typo fixes. 2026-09-23 16:00:47 -04:00
Bokuan Li 0a17a5a4a1 Forgot to assume ultrafilter. 2026-09-23 15:48:33 -04:00
Bokuan Li 331401306c Fixed up compactification. 2026-09-23 15:48:24 -04:00
Bokuan Li 44dea2be44 Oopsies forgot a theorem. 2026-09-23 15:43:03 -04:00
Bokuan Li e40e845ed8 Moved harmonic to its own folder. 2026-09-22 10:42:26 -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 9add6129c0 Stone-Cech.
Compile Project / Compile (push) Successful in 1m2s
2026-09-21 13:28:13 -04:00
Bokuan Li d866e3e448 The $L^1$ Group Algebra is past revisions! 2026-09-21 11:27:48 -04:00
Bokuan Li c7ab20155f Revision 1. 2026-09-20 14:17:23 -04:00
Bokuan Li 6414c49ab3 First draft of L^1. 2026-09-19 20:57:32 -04:00
Bokuan Li c05faf4a77 Added minkowski's inequality for integrals. 2026-09-19 11:28:31 -04:00
Bokuan Li 8b93c445fa Defined the real interpolation method. 2026-09-17 11:21:22 -04:00
Bokuan Li bef0b76eab Cleaned up notations for logic. 2026-09-16 13:48:54 -04:00
Bokuan Li 8f4df44d55 Fixed typo. 2026-09-16 13:27:08 -04:00
Bokuan Li 1e76f55d68 Housekeeping after class. 2026-09-16 13:25:08 -04:00
Bokuan Li 3a81f8833a Housekeeping with the maximal theorem. 2026-09-16 11:23:13 -04:00
Bokuan Li f020a2037d Dilation situation. 2026-09-15 09:55:31 -04:00
Bokuan Li 1a3c88aa49 Housekeeping. 2026-09-14 11:26:20 -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 926305e65c Fixed typo.
Compile Project / Compile (push) Successful in 43s
2026-08-29 15:43:23 -04:00
Bokuan Li fab7bb7af4 Fixed citation entry for a stackexchange post.
Compile Project / Compile (push) Successful in 47s
2026-08-28 15:06:30 -04:00
Bokuan Li f165b4fd2d Added citation for the type 1 proof.
Compile Project / Compile (push) Successful in 43s
2026-08-27 20:30:50 -04:00
Bokuan Li f340ab9a29 Second draft of B(H).
Compile Project / Compile (push) Successful in 42s
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.
Compile Project / Compile (push) Successful in 56s
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.
Compile Project / Compile (push) Successful in 50s
2026-08-24 17:41:04 -04:00
Bokuan Li fa4c1db319 Fixed a typo. 2026-08-21 18:54:21 -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.
Compile Project / Compile (push) Successful in 52s
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.
Compile Project / Compile (push) Successful in 54s
2026-08-17 00:24:34 -04:00
Bokuan Li 6cf96d9803 Fixed up spectral.
Compile Project / Compile (push) Successful in 59s
2026-08-16 17:34:03 -04:00
Bokuan Li 0aa8e956f5 Fixed up the L^\infty functional calculus section.
Compile Project / Compile (push) Successful in 56s
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.
Compile Project / Compile (push) Successful in 48s
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.
Compile Project / Compile (push) Successful in 54s
2026-08-14 20:54:09 -04:00
Bokuan Li 9530f806b1 Fixed some typos.
Compile Project / Compile (push) Successful in 51s
2026-08-14 20:42:33 -04:00
Bokuan Li 421233bf4d Added first draft of the Borel functional calculus.
Compile Project / Compile (push) Successful in 50s
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 f8b61cca1a Updated $L^p$ notations. 2026-08-14 14:29:06 -04:00
Bokuan Li e2eeae3f36 Fixed a few typos.
Compile Project / Compile (push) Has been cancelled
2026-08-13 19:26:36 -04:00
Bokuan Li 1c33dabcd8 Trying to push again?
Compile Project / Compile (push) Successful in 47s
2026-08-13 14:57:14 -04:00
Bokuan Li 4fb16feb5a Added the Arens extension.
Compile Project / Compile (push) Failing after 43s
2026-08-13 14:27:43 -04:00
Bokuan Li 22a8d18845 Added trolling. 2026-08-12 22:40:04 -04:00
Bokuan Li 594d139e4c Slight adjustments.
Compile Project / Compile (push) Failing after 40s
2026-08-11 18:30:55 -04:00
Bokuan Li 05bc2c6820 Changed label format. 2026-08-11 18:20:09 -04:00
Bokuan Li 2177baf09d Added the Kaplansky Density Theorem.
Compile Project / Compile (push) Successful in 53s
2026-08-11 16:18:48 -04:00
Bokuan Li 7e78ce4ae1 Simplified the separable dual result. 2026-08-11 13:50:38 -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.
Compile Project / Compile (push) Successful in 53s
2026-08-10 16:03:07 -04:00
Bokuan Li f327c5ab93 Fixed typo.
Compile Project / Compile (push) Successful in 49s
2026-08-09 21:23:49 -04:00
Bokuan Li c02d873ddd Added bilinear forms.
Compile Project / Compile (push) Successful in 55s
2026-08-09 21:18:50 -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.
Compile Project / Compile (push) Successful in 52s
2026-08-09 15:40:56 -04:00
Bokuan Li 1bc1b17fee Added elementary properties of adjoint maps.
Compile Project / Compile (push) Successful in 50s
2026-08-08 19:39:18 -04:00
Bokuan Li ae2fc8147f Added basic topology facts about B(H).
Compile Project / Compile (push) Successful in 56s
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.
Compile Project / Compile (push) Successful in 53s
2026-08-08 15:06:50 -04:00
Bokuan Li bc1aea01b3 Added quotients. 2026-08-08 14:56:27 -04:00
Bokuan Li 83854cdc04 Added a section on non-unital C^*-algebras.
Compile Project / Compile (push) Successful in 51s
2026-08-08 12:49:01 -04:00
Bokuan Li b75d97e94a Linked existence of the weak integral.
Compile Project / Compile (push) Successful in 51s
2026-08-07 20:14:59 -04:00
Bokuan Li a57b88618f Added existence of the weak integral. 2026-08-07 20:14:39 -04:00
Bokuan Li 39a16de049 I didn't have closed graph theorem? 2026-08-07 19:31:19 -04:00
Bokuan Li 4d4789bd38 Random nonsense.
Compile Project / Compile (push) Successful in 51s
2026-08-07 17:49:06 -04:00
Bokuan Li 8faaa8dab4 Added the injective tensor product.
Compile Project / Compile (push) Successful in 43s
2026-08-07 15:50:54 -04:00
Bokuan Li 39086537c3 Fixed diagram.
Compile Project / Compile (push) Successful in 52s
2026-08-06 16:20:33 -04:00
Bokuan Li 07bfef705e Added Banach-Mazur. 2026-08-06 16:19:07 -04:00
Bokuan Li 3ba29569ef Added universality of the zero-dimensional spaces. 2026-08-06 15:59:15 -04:00
Bokuan Li a493db41c9 Typo fix.
Compile Project / Compile (push) Successful in 45s
2026-07-24 18:43:35 -04:00
Bokuan Li 22ce40afa2 Fixed minor typo.
Compile Project / Compile (push) Successful in 46s
2026-07-21 20:56:11 -04:00
Bokuan Li 12bc7db736 Added Schauder bases.
Compile Project / Compile (push) Successful in 46s
2026-07-20 23:47:02 -04:00
Bokuan Li 1ef1cde0b2 Added another corollary.
Compile Project / Compile (push) Successful in 43s
2026-07-20 22:55:07 -04:00
Bokuan Li 6019461a9b Added corollaries.
Compile Project / Compile (push) Successful in 56s
2026-07-20 22:40:36 -04:00
Bokuan Li 60f8fb94eb Added characterisation of the approximation property.
Compile Project / Compile (push) Successful in 54s
2026-07-20 19:48:59 -04:00
Bokuan Li aa47453f25 Added Gantmacher's theorem.
Compile Project / Compile (push) Successful in 53s
2026-07-20 17:00:46 -04:00
Bokuan Li 22f9bc219b Added tensor gymnastics. 2026-07-20 12:58:27 -04:00
Bokuan Li 4b1a17c259 Added the c_0 sequence space and its duality result. 2026-07-20 12:57:20 -04:00
Bokuan Li 25d3f4e8d2 Added Goldstine's Theorem.
Compile Project / Compile (push) Successful in 52s
2026-07-17 18:49:11 -04:00
Bokuan Li 843631b024 Added the compact null sequence lemma. 2026-07-17 14:29:04 -04:00