Topological vector spaces / Lawrence Narici, Edward Beckenstein.

BackgroundTopology Valuation Theory Algebra Linear Functionals Hyperplanes Measure Theory Normed SpacesCommutative Topological GroupsElementary ConsiderationsSeparation and Compactness Bases at 0 for Group Topologies Subgroups and Products Quotients S-Topologies Metrizability CompletenessCompletenes...

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Bibliographic Details
Main Author: Narici, Lawrence
Other Authors: Beckenstein, Edward, 1940-
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, ©2010.
Edition:Second edition.
Series:Monographs and textbooks in pure and applied mathematics ; 296.
Subjects:
Online Access:Click for online access
Table of Contents:
  • Front cover; Contents; Preface to This Edition; Preface to First Edition; Chapter 1. Background; Chapter 2. Commutative Topological Groups; Chapter 3. Completeness; Chapter 4. Topological Vector Spaces; Chapter 5. Locally Convex Spaces and Seminorms; Chapter 6. Bounded Sets; Chapter 7. Hahn-Banach Theorems; Chapter 8. Duality; Chapter 9. Krein-Milman and Banach-Stone; Chapter 10. Vector-Valued Hahn-Banach Theorems; Chapter 11. Barreled Spaces; Chapter 12. Inductive Limits; Chapter 13. Bornological Spaces; Chapter 14. Closed Graph Theorems; Chapter 15. Reflexivity.
  • Chapter 16. Norm Convexities and ApproximationBibliography; Back cover.