Commit Graph
100 Commits
Author SHA1 Message Date
Bokuan Li e3c16a98b4 Updated the notation for convex and circled hulls. 2026-05-04 17:15:54 -04:00
Bokuan Li 60115baa41 Replaced references to upward-directed families with ideals. 2026-05-04 17:08:01 -04:00
Bokuan Li e4da295fd9 Added introduction to polars. 2026-05-04 16:04:09 -04:00
Bokuan Li b2af2d8afb Fixed typo in dual systems.
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2026-05-03 22:57:48 -04:00
Bokuan Li ca5e81fdbc Started duality.
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2026-05-03 22:49:27 -04:00
Bokuan Li ba5830d5b6 Added associated space notation.
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2026-05-02 16:00:33 -04:00
Bokuan Li 1e53581113 Added bornological spaces. 2026-05-02 15:59:03 -04:00
Bokuan Li dcf11fb978 Added more bits on bornologic spaces.
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2026-05-01 19:27:38 -04:00
Bokuan Li 0ef220bba5 Added proof for the BV claim. 2026-05-01 18:33:10 -04:00
Bokuan Li 4e0efaf7f5 Adjusted formulation of a total variation statement. 2026-05-01 18:31:08 -04:00
Bokuan Li 10e520dff3 Updated formulation in BV.
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2026-05-01 16:40:01 -04:00
Bokuan Li 2219ce0b15 Added barreled spaces.
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2026-05-01 16:27:14 -04:00
Bokuan Li 3077563278 Used "separated" instead of Hausdorff in the context of topological vector spaces. 2026-05-01 13:32:08 -04:00
Bokuan Li caf7790b15 Fixed typo in Cauchy in measure. 2026-05-01 13:29:36 -04:00
Bokuan Li 95829261c7 Fixed typo in FTC for Riemann integrals.
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2026-04-28 18:09:27 -04:00
Bokuan Li 225794ff81 Fixed typo in the definition of regulated maps.
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2026-04-28 18:07:27 -04:00
Bokuan Li 6a960a6231 Fixed typo in variation function.
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2026-04-28 18:05:37 -04:00
Bokuan Li d187feb618 Fixed partition index typo. 2026-04-28 18:04:05 -04:00
Bokuan Li 34736f99a8 More typo fixes.
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2026-04-28 14:34:44 -04:00
Bokuan Li d80fae112d Fixed more convex typos. 2026-04-28 14:27:23 -04:00
Bokuan Li e68b991240 Fixed typo in convex hull.
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2026-04-28 14:20:27 -04:00
Bokuan Li 78cbee8b32 Lowered the table of contents depth.
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2026-04-23 15:50:14 -04:00
Bokuan Li 9259cd1d86 Added notation pages for major sections. 2026-04-23 02:56:47 -04:00
Bokuan Li 945bfe9946 Fixed typos and migrated to new version. 2026-04-13 20:21:01 -04:00
Bokuan Li 4be9c683f6 Updated config version to v0.2.0.
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2026-03-26 14:58:01 -04:00
Bokuan Li af1fa61668 Added the fundamental theorem of calculus.
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2026-03-22 17:12:22 -04:00
Bokuan Li 156c9e8728 Added missing steps and fixed typos.
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2026-03-22 00:45:15 -04:00
Bokuan Li 73ceab0a6d Fixed more mistakes in the dyadic rational numbers.
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2026-03-21 19:35:12 -04:00
Bokuan Li 50c231f543 Updated the dyadic rational numbers and RS integrals.
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2026-03-21 19:15:40 -04:00
Bokuan Li d7d5db5f90 Typo fix.
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2026-03-20 15:18:08 -04:00
Bokuan Li 780d5d362e Fixed typo in the Singer representation remark.
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2026-03-20 00:13:08 -04:00
Bokuan Li 1d9f537b86 Added missing citation for the C0 Riesz representation theorem.
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2026-03-20 00:05:57 -04:00
Bokuan Li aa4756e941 Adjusted citation formats. Moved citation off of named theorems if possible.
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2026-03-19 23:58:16 -04:00
Bokuan Li f9275656f4 Added a remark on the Singer representation theorem.
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2026-03-19 23:44:32 -04:00
Bokuan Li c21b16d336 Added the Singer representation theorem. 2026-03-19 23:38:04 -04:00
Bokuan Li 051bae6096 Fixed typo in Hahn-Banach. 2026-03-19 19:26:43 -04:00
Bokuan Li 9ce4986002 Added Fubini's theorem.
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2026-03-19 12:05:58 -04:00
Bokuan Li af28d174f2 Added remarks regarding the projective tensor product. 2026-03-18 20:04:21 -04:00
Bokuan Li 813cff3c81 Fixed typo.
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2026-03-18 17:31:07 -04:00
Bokuan Li 1cb04f668b Added a characterisation of L^p.
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2026-03-18 17:26:17 -04:00
Bokuan Li fdd4d752e9 Added the algebraic tensor product. 2026-03-18 14:16:55 -04:00
Bokuan Li f25600cbd3 More typo fixes.
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2026-03-17 15:34:02 -04:00
Bokuan Li c26e3fdfcb Minor typo fix.
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2026-03-17 15:32:44 -04:00
Bokuan Li dd49a42b4a Typo fixes.
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2026-03-17 15:30:41 -04:00
Bokuan Li 16e6beb117 Replaced mentions of normed spaces to normed vector spaces.
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2026-03-17 15:18:31 -04:00
Bokuan Li 37a5ce14bf Added the Bochner integral. 2026-03-17 15:16:13 -04:00
Bokuan Li ae69a73fba Fixed typo in isometry proof.
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2026-03-16 21:10:21 -04:00
Bokuan Li b591904469 Added the dual of c0.
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2026-03-16 21:05:12 -04:00
Bokuan Li 69c4e5e030 Added vector lattices. 2026-03-16 16:01:07 -04:00
Bokuan Li ef91d9f91b Various typo fixes. 2026-03-15 23:04:46 -04:00
Bokuan Li 8e7e55e8b3 Added monotone convergence for LSC functions.
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2026-03-15 22:13:55 -04:00
Bokuan Li 06f7874de3 Moved Radon measures to their own section. 2026-03-15 20:12:14 -04:00
Bokuan Li b5126e965b Added facts about vector measures. 2026-03-15 19:30:28 -04:00
Bokuan Li 2e160500cc Added Riemann's rearrangement theorem. 2026-03-15 14:44:36 -04:00
Bokuan Li 62a8e78dfe Typo fixes. 2026-03-15 12:32:31 -04:00
Bokuan Li f951ccccdf Updated proof for C0 space.
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2026-03-14 21:16:45 -04:00
Bokuan Li 1200e0bce0 Added the c0 space. 2026-03-14 21:06:58 -04:00
Bokuan Li 4687e9e4fc Added Lusin's theorem. 2026-03-14 19:55:29 -04:00
Bokuan Li 3778616075 Added Egoroff's theorem. 2026-03-14 18:08:06 -04:00
Bokuan Li d3d5dc62e1 Added convergence in measure. 2026-03-14 17:54:58 -04:00
Bokuan Li 6bb13c3c53 Typo fix.
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2026-03-12 22:36:53 -04:00
Bokuan Li 532bced3b7 Fixed some typos.
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2026-03-12 22:29:40 -04:00
Bokuan Li 68ec8c38a7 Updated spec config.
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2026-03-12 22:02:52 -04:00
Bokuan Li 61f66523e0 Prepare for migration into spec. 2026-03-12 21:26:34 -04:00
Bokuan Li 9139ee3296 Housekeeping for VS code. 2026-03-06 15:45:31 -05:00
Bokuan Li 139f5b8a99 Housekeeping. 2026-03-06 14:56:15 -05:00
Bokuan Li 99f57be39e Housekeeping. 2026-03-06 14:55:54 -05:00
Bokuan Li 5034bc4220 Cleanup 2026-03-06 14:06:15 -05:00
Bokuan Li 173727665b Symmetry of the derivative (normed/frechet). 2026-02-03 17:57:07 -05:00
Bokuan Li 7bbbf75213 Adjusted mean value theorem. 2026-02-03 11:07:32 -05:00
Bokuan Li 04786ba3d9 Added the Mean Value Theorem. 2026-02-03 00:54:44 -05:00
Bokuan Li 8a4e6f5ebf Defined derivatives. 2026-02-02 17:53:23 -05:00
Bokuan Li 5c54ec0883 Added properties of inductive limits. 2026-01-30 11:54:08 -05:00
Bokuan Li d63c2e794f Added some limits. 2026-01-29 12:28:15 -05:00
Bokuan Li b48f5859f1 Fixed some typos. 2026-01-29 12:06:44 -05:00
Bokuan Li c0a76cc2f0 Added inductive limits of TVS. 2026-01-29 12:04:26 -05:00
Bokuan Li 317e652a6a Added a proposition concerning the structure of complete locally convex spaces. 2026-01-28 17:31:09 -05:00
Bokuan Li 354c8e0053 Added projective limits for LC spaces. 2026-01-28 13:57:49 -05:00
Bokuan Li b220d792e4 Added projective limits. 2026-01-28 13:39:00 -05:00
Bokuan Li e7f7dfc8e3 Fixed typo. 2026-01-27 15:43:23 -05:00
Bokuan Li 5ccfe39d3b Added relevant Hahn-Banach results. 2026-01-27 15:39:56 -05:00
Bokuan Li 2bacd9b370 Updated Schaefer & Wolff citations. 2026-01-27 14:10:21 -05:00
Bokuan Li 1431e56d3d Added more convex facts. 2026-01-27 14:10:04 -05:00
Bokuan Li 0e9b19a338 Added metrisability of locally bounded spaces. 2026-01-27 13:23:53 -05:00
Bokuan Li 6461ef4ea7 Bookkeeping. 2026-01-26 17:58:42 -05:00
Bokuan Li b16666e74e Added basic theory of Lp spaces, alongside some integral stuff. 2026-01-26 17:47:10 -05:00
Bokuan Li 67184cbb0c Added regularity properties for Radon measures. 2026-01-26 15:14:27 -05:00
Bokuan Li 6eb34feb51 Added Riesz. 2026-01-25 18:59:57 -05:00
Bokuan Li f9d7a448bf Defined the Lebesgue integral. 2026-01-25 14:10:21 -05:00
Bokuan Li 4e451700d2 Added the metrisability of TVS. 2026-01-25 12:29:04 -05:00
Bokuan Li 008af3c2b8 Added pseudonorms for TVSs. 2026-01-24 17:35:48 -05:00
Bokuan Li 514afcb21f Removed typo 2026-01-23 17:39:40 -05:00
Bokuan Li 22c82cc7c0 Added quotients of TVSs. 2026-01-23 17:29:32 -05:00
Bokuan Li 220c263f8f Added quotient spaces. 2026-01-23 16:44:29 -05:00
Bokuan Li f4ffd7d838 Added neighbourhood characterisation for TVS. 2026-01-23 15:30:11 -05:00
Bokuan Li 3fc32813d8 Pseudometricised function spaces. 2026-01-23 14:01:37 -05:00
Bokuan Li e847ead004 Minor adjustments. 2026-01-22 19:02:42 -05:00
Bokuan Li 234f158663 Added quotient topology. 2026-01-22 18:47:33 -05:00
Bokuan Li 61a8f3d37b Added integration of non-negative functions. 2026-01-22 18:12:10 -05:00
Bokuan Li 2e81d6f87a Added integration of simple functions. 2026-01-22 11:36:14 -05:00