Title Topological vector spaces / Lawrence Narici, Edward Beckenstein

Edition Second edition Published Boca Raton, FL : CRC Press, ©2010

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Description 1 online resource : illustrations Series Monographs and textbooks in pure and applied mathematics Monographs and textbooks in pure and applied mathematics ; 296. 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 Summary 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 CompletenessCompleteness Function Groups Total BoundednessCompactness and Total Boundedness Uniform Continuity Extension of Uniformly Continuous Maps CompletionTopological Vector SpacesAbsorbent and Balanced Sets Convexity-AlgebraicBasic PropertiesConvexity-Topological Generating Vector Topologies A Non-Locally Convex Spa Bibliography Includes bibliographical references and index Notes Print version record Subject Linear topological spaces. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Linear topological spaces Form Electronic book Author Beckenstein, Edward, 1940- ISBN 9781584888673 1584888679

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