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Autor Kąkol, Jerzy. author.

Título Descriptive Topology in Selected Topics of Functional Analysis [electronic resource] / by Jerzy Kąkol, Wies Kubi, Manuel López-Pellicer

Publicación Boston, MA : Springer US, 2011.
Descripción física XII, 496 p. online resource.
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Colección Developments in Mathematics, 1389-2177 ; 24
Springer eBooks. Mathematics and Statistics
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Developments in Mathematics, 1389-2177 ; 24
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Contiene: Preface -- 1. Overview -- 2. Elementary Facts about Baire and Baire-Type Spaces -- 3. K-analytic and quasi-Suslin Spaces -- 4. Web-Compact Spaces and Angelic Theorems -- 5. Strongly Web-Compact Spaces and a Closed Graph Theorem -- 6. Weakly Analytic Spaces -- 7. K-analytic Baire Spaces -- 8. A Three-Space Property for Analytic Spaces -- 9. K-analytic and Analytic Spaces Cp(X) -- 10. Precompact sets in (LM)-Spaces and Dual Metric Spaces -- 11. Metrizability of Compact Sets in the Class G -- 12. Weakly Realcompact Locally Convex Spaces -- 13. Corsoń鳠Propery (C) and tightness -- 14. Fréchet-Urysohn Spaces and Groups -- 15. Sequential Properties in the Class G -- 16. Tightness and Distinguished Fréchet Spaces -- 17. Banach Spaces with Many Projections -- 18. Spaces of Continuous Functions Over Compact Lines -- 19. Compact Spaces Generated by Retractions -- 20. Complementably Universival Banach Space -- Index.
Resumen: A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. As the first monograph to approach the topic of topological vector spaces from the perspective of descriptive topology, this work provides also new insights into the connections between the topological properties of linear function spaces and their role in functional analysis.  Descriptive Topology in Selected Topics of Functional Analysis is a self-contained volume that applies recent developments and classical results in descriptive topology to study 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 distribution theory, differential equations, complex analysis, and various other areas of functional analysis. Written by three experts in the field, this book is a treasure trove for researchers and graduate students studying the interplay among the areas of point-set and descriptive topology, modern analysis, set theory, topological vector spaces and Banach spaces, and continuous function spaces.  Moreover, it will serve as a reference for present and future work done in this area and could serve as a valuable supplement to advanced graduate courses in functional analysis, set-theoretic topology, or the theory of function spaces.
Materia Mathematics.
Functional analysis.
Special functions.
Topology.
Mathematics.
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Functional Analysis.
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Topology.
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Special Functions.
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Autor secundario Kubi, Wies
López-Pellicer, Manuel
SpringerLink (Online service)
En Springer eBooks
OTRO SOPORTE Printed edition: 9781461405283
ISBN 9781461405290 978-1-4614-0529-0
ISBN/ISSN 10.1007/978-1-4614-0529-0 doi