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Titlebook: Descriptive Topology in Selected Topics of Functional Analysis; Jerzy K?kol,Wies?aw Kubi?,Manuel López-Pellicer Book 20111st edition Sprin

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書(shū)目名稱Descriptive Topology in Selected Topics of Functional Analysis
編輯Jerzy K?kol,Wies?aw Kubi?,Manuel López-Pellicer
視頻videohttp://file.papertrans.cn/269/268312/268312.mp4
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numerous results that have previously only appeared in journal publications.Includes several newly developed and unpublished results.Can serve a supplementary text in course focusing on selec
叢書(shū)名稱Developments in Mathematics
圖書(shū)封面Titlebook: Descriptive Topology in Selected Topics of Functional Analysis; Jerzy K?kol,Wies?aw Kubi?,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
關(guān)鍵詞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 .??.. 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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