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Titlebook: Descriptive Topology in Selected Topics of Functional Analysis; Jerzy Kąkol,Wiesław Kubiś,Manuel López-Pellicer Book 20111st edition Sprin

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K-analytic and Quasi-Suslin Spaces,via, about lcs’s admitting resolutions consisting of Banach discs and their relations with the closed graph theorems. We present Hurewicz and Alexandrov’s theorems as well as the Calbrix–Hurewicz theorem, which yields that a regular analytic space . is not .-compact if and only if . contains a closed subset homeomorphic to ℕ..
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Spaces of Continuous Functions over Compact Lines, appeared several times in the previous chapters. Its space of continuous functions turns out to be a canonical example for several topological and geometric properties of Banach spaces. More complicated compact lines provide examples related to Plichko spaces.
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Entrepreneurship in the FinTech Industry.). is weakly bounded, strongly bounded, or equicontinuous, respectively. These characterizations help us produce a (.)-space ..(.) that is not a (.)-space, solving a basic and long-standing open question.
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Weakly Realcompact Locally Convex Spaces, example due to Pol showing that there exists a Banach space .(.) over a compact scattered space . such that .(.) is weakly Lindelöf and not WCG is presented. We show (after Amir and Lindenstrauss) that every nonseparable reflexive Banach space contains a complemented separable subspace. Several consequences are provided.
发表于 2025-3-24 18:00:08 | 显示全部楼层
1389-2177 s.Can serve a supplementary text in course focusing on selec"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear
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Forecasts for the FinTech Market in Germany,(due to Drewnowski) was motivated by the Arias–De Reina–Valdivia–Saxon theorem about non-Baire dense hyperplanes in Banach spaces. We provide a large class of weakly analytic metrizable and separable Baire tvs that are not analytic (clearly such spaces are necessarily not locally convex).
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