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Introductory Theory of Topological Vector Spaces






Publisher:  C R C Press LLC
Summary: This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact s...ets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.

Wong, Yau-Chuen is the author of Introductory Theory of Topological Vector Spaces, published under ISBN 9780824787790 and 082478779X. One hundred eight Introductory Theory of Topological Vector Spaces textbooks are available for sale on ValoreBooks.com, three used from the cheapest price of $51.97, or buy new starting at $52.69.
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Introductory Theory of Topological Vector Spaces

ISBN-13: 9780824787790

ISBN: 082478779X

Publisher: C R C Press LLC
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