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BL
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| Record Number
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874439
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| Main Entry
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Wong, Yau-Chuen,1935-
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| Title & Author
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Introductory Theory of Topological Vector Spaces /\ Yau-Chuen Wong.
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| Publication Statement
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New York :: Marcel Dekker, Inc.,, [2018]
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| Series Statement
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Monographs and textbooks in pure and applied mathematics ;; 167
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| Page. NO
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1 online resource
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| ISBN
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0203749804
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: 1351436465
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: 9780203749807
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: 9781351436465
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9780824787790
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface; 1: Hahn-Banach's extension theorem; 2: Banach spaces and Hilbert spaces; 3: Operators and some consequences of Hahn-Banach's extension theorem; 4: The uniform boundedness theorem and Banach's open mapping theorem; 5: A structure theorem for compact sets in a Banach space; 6: Topological injections and topological surjections; 7: Vector topologies; 8: Separation theorems and Krein-Milman's theorem; 9: Projective topologies and inductive topologies; 10: Normed spaces associated with a locally convex space
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11: Bounded sets and compact sets in metrizable topological vector spaces12: The bornological space associated with a locally convex space; 13: Vector bornologies; 14: Initial bornologies and final bornologies; 15: von Neumann bornologies and locally convex topologies determined by convex bornologies; 16: Dual pairs and the weak topology; 17: Elementary duality theory; 18: Semi-reflexive spaces and ultra-semi-reflexive spaces; 19: Some recent results on compact operators and weakly compact operators; 20: Precompact seminorms and Schwartz spaces; 21: Elementary Riesz-Schauder's theory
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22: An introduction to operator ideals23: An aspect of fixed point theory; 24: An introduction to ordered convex spaces; Special symbols; References; Index
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| Subject
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Linear topological spaces.
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| Subject
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Linear topological spaces.
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MATHEMATICS-- Calculus.
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| Subject
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MATHEMATICS-- Mathematical Analysis.
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| Dewey Classification
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515/.73
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| LC Classification
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QA322
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