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Descriptive topology in selected topics of functional analysis

Author: J Kąkol; Wiesław Kubiś; M Lopez Pellicer
Publisher: New York : Springer, ©2011.
Series: Developments in mathematics, v. 24.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"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 Frechet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Kąkol, J.
Descriptive topology in selected topics of functional analysis.
New York : Springer, 2011
(DLC) 2011936698
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J Kąkol; Wiesław Kubiś; M Lopez Pellicer
ISBN: 9781461405290 1461405297 9786613353122 6613353124 1283353121 9781283353120 1461405289 9781461405283
OCLC Number: 755926656
Language Note: English.
Description: 1 online resource (xii, 493 pages).
Contents: 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. Corson's 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.
Series Title: Developments in mathematics, v. 24.
Responsibility: Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer.

Abstract:

This self-contained volume applies recent developments and classical results to study the classes of infinite-dimensional topological vector spaces in functional analysis.  Read more...

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From the reviews:"The book summarizes many results which describe various aspects of the structure of topological vector spaces ... . Most of the chosen material is relatively recent and appears in Read more...

 
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