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Modern Methods in Topological Vector Spaces

Modern Methods in Topological Vector Spaces

by Albert Wilansky
Paperback
Publication Date: 18/12/2013
  $42.99
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 Frechet spaces. Optional problems with hints and references introduce non-locally convex spaces, Kothe-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.
ISBN:
9780486493534
9780486493534
Category:
Functional analysis & transforms
Format:
Paperback
Publication Date:
18-12-2013
Language:
English
Publisher:
Dover Publications Inc.
Country of origin:
United States
Pages:
316
Dimensions (mm):
235x156x18mm
Weight:
0.41kg

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