FROM 发表于 2025-3-21 16:39:45

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PAC 发表于 2025-3-21 23:19:59

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insurgent 发表于 2025-3-22 01:27:29

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飞行员 发表于 2025-3-22 07:38:18

Basic Duality Theory because it establishes a tool to translate a problem on the space (where it may appear to be difficult) into one concerning its linear forms (which may happen to be much easier to handle). Duality also admits the replacement of the original topology by simpler ones when dealing with problems involving boundedness, convexity, continuity, etc..

craven 发表于 2025-3-22 11:35:07

CompletenessEvery topological vector space . carries a natural uniform structure (in the sense of N. Bourbaki , see also H.Schubert ) which is determined by all sets {. × .}. running through any 0-basis in .. Consequently, topological vector spaces are open for application of the results of the general theory of uniform spaces.

DALLY 发表于 2025-3-22 16:06:32

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Fracture 发表于 2025-3-22 19:16:45

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VAN 发表于 2025-3-22 23:47:59

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讨厌 发表于 2025-3-23 04:37:02

978-3-322-90561-1Springer Fachmedien Wiesbaden 1981

悬挂 发表于 2025-3-23 09:36:03

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查看完整版本: Titlebook: Locally Convex Spaces; Hans Jarchow Textbook 1981 Springer Fachmedien Wiesbaden 1981 Grothendieck topology.Hilbert space.Tensor.addition.a