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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, 24
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: J Kąkol; Wiesław Kubiś; M Lopez Pellicer
ISBN: 9781461405283 1461405289 9781461405290 1461405297
OCLC Number: 733249578
Description: xii, 493 pages : illustrations ; 24 cm
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. Frechet-Urysohn Spaces and Groups.- 15. Sequential Properties in the Class G.- 16. Tightness and Distinguished Frechet 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, 24
Responsibility: Jerzy Kąkol, Wiesław Kubiś, Manuel López-Pellicer.
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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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