Descriptive Topology in Selected Topics of Functional Analysis
Springer-Verlag New York Inc.
978-1-4614-3003-2 (ISBN)
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This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
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.
| Reihe/Serie | Developments in Mathematics ; 24 |
|---|---|
| Zusatzinfo | XII, 496 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Analysis • C(X) Spaces • descriptive • Enlargments • Equations • Functional • function spaces • Linear Spaces • SET • Topology |
| ISBN-10 | 1-4614-3003-8 / 1461430038 |
| ISBN-13 | 978-1-4614-3003-2 / 9781461430032 |
| Zustand | Neuware |
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