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OverviewThis text offers a rigorous introduction into the theory and methods of convergence spaces and gives concrete applications to the problems of functional analysis. While there are a few books dealing with convergence spaces and a great many on functional analysis, there are none with this particular focus. The book demonstrates the applicability of convergence structures to functional analysis. Highlighted here is the role of continuous convergence, a convergence structure particularly appropriate to function spaces. It is shown to provide an excellent dual structure for both topological groups and topological vector spaces. Readers will find the text rich in examples. Of interest, as well, are the many filter and ultrafilter proofs which often provide a fresh perspective on a well-known result. Audience: This text will be of interest to researchers in functional analysis, analysis and topology as well as anyone already working with convergence spaces. It is appropriate for senior undergraduate or graduate level students with some background in analysis and topology. Full Product DetailsAuthor: R. Beattie , Heinz-Peter ButzmannPublisher: Springer Imprint: Springer Edition: Softcover reprint of hardcover 1st ed. 2002 Dimensions: Width: 15.50cm , Height: 1.40cm , Length: 23.50cm Weight: 0.454kg ISBN: 9789048159949ISBN 10: 9048159946 Pages: 264 Publication Date: 15 December 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1 Convergence spaces.- 2 Uniform convergence spaces.- 3 Convergence vector spaces.- 4 Duality.- 5 Hahn-Banach extension theorems.- 6 The closed graph theorem.- 7 The Banach-Steinhaus theorem.- 8 Duality theory for convergence groups.- List of Notations.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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