Descriptive Topology in Selected Topics of Functional Analysis

• Κύριοι συγγραφείς: Kąkol, Jerzy (Συγγραφέας), Kubiś, Wiesław (Συγγραφέας), López-Pellicer, Manuel (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Springer US, 2011.
• Σειρά: Developments in Mathematics, 24
• Θέματα: Mathematics.; Functional analysis.; Special functions.; Topology.; Functional Analysis.; Special Functions.

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...

Πίνακας περιεχομένων:

• 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.