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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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978-3-322-90561-1Springer Fachmedien Wiesbaden 1981悬挂 发表于 2025-3-23 09:36:03
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