损坏 发表于 2025-3-30 10:25:19
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A Three-Space Property for Analytic Spaces,In this chapter, we show that analyticity is not a three-space property. We prove, however, that a metrizable tvs . is analytic if it contains a complete locally convex analytic subspace . such that the quotient ./. is analytic. We reprove (using Corson’s example) that the Lindelöf property is not a three-space property.tympanometry 发表于 2025-3-31 01:39:59
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,Corson’s Property (,) and Tightness,In this chapter, the class of Banach spaces having the property (.) (isolated by Corson) is studied. This property provides a large subclass of Banach spaces . whose weak topology need not be Lindelöf. We collect some results of Corson, Pol, Frankiewicz, Plebanek and Ryll-Nardzewski.fatuity 发表于 2025-3-31 11:06:30
Banach Spaces with Many Projections,In this chapter, we discuss Banach spaces that have a rich family of norm-one projections onto separable subspaces. One of the tools, coming from logic, is the concept of an elementary submodel.Jejune 发表于 2025-3-31 14:21:58
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The Rise of BigTechs in the Financial Market and strong duals of (.)-spaces. We study trans-separable spaces and show that a tvs with a resolution of precompact sets is trans-separable. This is applied to prove that precompact sets are metrizable in any uniform space whose uniformity admits a .-basis.我邪恶 发表于 2025-3-31 23:02:20
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