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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
f327c5ab93 Fixed typo.
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2026-08-09 21:23:49 -04:00
Bokuan Li
c02d873ddd Added bilinear forms.
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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.
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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
Bokuan Li
83854cdc04 Added a section on non-unital C^*-algebras.
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2026-08-08 12:49:01 -04:00
Bokuan Li
b75d97e94a Linked existence of the weak integral.
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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.
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2026-08-07 17:49:06 -04:00
Bokuan Li
8faaa8dab4 Added the injective tensor product.
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2026-08-07 15:50:54 -04:00
Bokuan Li
39086537c3 Fixed diagram.
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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.
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2026-07-24 18:43:35 -04:00
Bokuan Li
22ce40afa2 Fixed minor typo.
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2026-07-21 20:56:11 -04:00
Bokuan Li
12bc7db736 Added Schauder bases.
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2026-07-20 23:47:02 -04:00
Bokuan Li
1ef1cde0b2 Added another corollary.
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2026-07-20 22:55:07 -04:00
Bokuan Li
6019461a9b Added corollaries.
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2026-07-20 22:40:36 -04:00
Bokuan Li
60f8fb94eb Added characterisation of the approximation property.
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2026-07-20 19:48:59 -04:00
Bokuan Li
aa47453f25 Added Gantmacher's theorem.
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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.
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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
Bokuan Li
fe557de4a6 Various additions. 2026-07-16 13:49:27 -04:00
Bokuan Li
42eeae1679 Every product of nuclear spaces is nuclear.
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2026-07-15 17:16:40 -04:00
Bokuan Li
1038594584 Sums of nuclear spaces are nuclear. 2026-07-15 17:03:51 -04:00
Bokuan Li
db79f11991 Quotients of nuclear spaces are nuclear. 2026-07-15 16:28:53 -04:00
Bokuan Li
11c969be61 Subspaces of nuclear spaces are nuclear. 2026-07-15 15:14:02 -04:00
Bokuan Li
d967ed933e Updated nuclear spaces.
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2026-07-14 20:48:33 -04:00
Bokuan Li
f80c788ca2 Added nuclear spaces.
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2026-07-14 20:31:59 -04:00
Bokuan Li
6b640447fb Added the polar decomposition. 2026-07-14 16:20:16 -04:00
Bokuan Li
d1ddf9f64b Added nuclear operators.
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2026-07-13 15:36:06 -04:00
Bokuan Li
84316a2059 Fiest draft of nuclear operators. 2026-07-13 15:26:05 -04:00
Bokuan Li
3113e1da04 Fixed typo.
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2026-07-10 18:38:50 -04:00
Bokuan Li
97150879d7 Oopsies daisies.
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2026-07-10 13:19:12 -04:00
Bokuan Li
d0f646fbe1 Added GNS.
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2026-07-09 15:31:43 -04:00
Bokuan Li
965a89d63a Fix typo in hahn-banach.
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2026-07-09 13:47:24 -04:00
Bokuan Li
67b00db276 Fix typo.
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2026-07-09 12:47:54 -04:00
Bokuan Li
013b095fa2 Added setup for GNS. 2026-07-09 12:36:43 -04:00
Bokuan Li
897edcf512 Added explicit descriptions of states in matrix algebras.
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2026-07-08 17:16:27 -04:00
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