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OverviewDesigned 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. Full Product DetailsAuthor: Albert WilanskyPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 15.60cm , Height: 1.60cm , Length: 23.50cm Weight: 0.418kg ISBN: 9780486493534ISBN 10: 0486493539 Pages: 316 Publication Date: 30 January 2014 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationAlbert Wilansky is Professor Emeritus of Mathematics at Lehigh University and author of Dover's Topology for Analysis. Tab Content 6Author Website:Countries AvailableAll regions |