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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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书目名称Descriptive Topology in Selected Topics of Functional Analysis
编辑Jerzy Kąkol,Wiesław Kubiś,Manuel López-Pellicer
视频video
概述Presents numerous results that have previously only appeared in journal publications.Includes several newly developed and unpublished results.Can serve a supplementary text in course focusing on selec
丛书名称Developments in Mathematics
图书封面Titlebook: Descriptive Topology in Selected Topics of Functional Analysis;  Jerzy Kąkol,Wiesław Kubiś,Manuel López-Pellicer Book 20111st edition Sprin
描述"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 in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
出版日期Book 20111st edition
关键词Analysis; C(X) Spaces; Descriptive; Enlargments; Equations; Function Spaces; Functional; Linear Spaces; Set;
版次1
doihttps://doi.org/10.1007/978-1-4614-0529-0
isbn_softcover978-1-4614-3003-2
isbn_ebook978-1-4614-0529-0Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer Science+Business Media, LLC 2011
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Metrizability of Compact Sets in the Class ,, on open .⊂ℝ.. We show (following Cascales and Orihuela) that every precompact set in an lcs in the class . is metrizable. This general result covers many already known theorems for (.)-spaces, (.)-spaces and dual metric spaces.
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Compact Spaces Generated by Retractions,pact spaces obtained by limits of continuous retractive sequences. We also introduce the notion of a retractional skeleton, dual to projectional skeletons in Banach spaces. The last section contains an overview of Eberlein compact spaces with some classical results and examples relevant to the subjects of previous chapters.
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https://doi.org/10.1007/978-1-349-20213-3 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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