Modern Methods in Topological Vector Spaces (Dover Books on Mathematics) (Paperback)

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Description


Designed for a one-year course in topological vector spaces, this text is geared toward advanced undergraduates and beginning graduate students of mathematics. The subjects involve properties employed by researchers in classical analysis, differential and integral equations, distributions, summability, and classical Banach and Frech t spaces. Optional problems with hints and references introduce non-locally convex spaces, K the-Toeplitz spaces, Banach algebra, sequentially barrelled spaces, and norming subspaces.
Extensive introductory chapters cover metric ideas, Banach space, topological vector spaces, open mapping and closed graph theorems, and local convexity. Duality is the treatment's central theme, highlighted by a presentation of completeness theorems and special topics such as inductive limits, distributions, and weak compactness. More than 30 tables at the end of the book allow quick reference to theorems and counterexamples, and a rich selection of problems concludes each section.

About the Author


Albert Wilansky is Professor Emeritus of Mathematics at Lehigh University and author of Dover's Topology for Analysis.


Product Details
ISBN: 9780486493534
ISBN-10: 0486493539
Publisher: Dover Publications
Publication Date: December 18th, 2013
Pages: 298
Language: English
Series: Dover Books on Mathematics