Introductory Theory of Topological Vector Spaces /
General Material Designation
[Book]
First Statement of Responsibility
Yau-Chuen Wong.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
Marcel Dekker, Inc.,
Date of Publication, Distribution, etc.
[2018]
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
SERIES
Series Title
Monographs and textbooks in pure and applied mathematics ;
Volume Designation
167
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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
Text of Note
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
Text of Note
22: An introduction to operator ideals23: An aspect of fixed point theory; 24: An introduction to ordered convex spaces; Special symbols; References; Index