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OverviewThis text offers an introduction to the theory and methods of convergence spaces and provides concrete applications to the problems of functional analysis. It highlights the role of continuous convergence, a convergence structure particularly appropriate to function spaces, and demonstrates that it provides an excellent dual structure for both topological groups and topological vector spaces. This text should 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-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2002 ed. Dimensions: Width: 15.50cm , Height: 1.70cm , Length: 23.50cm Weight: 1.270kg ISBN: 9781402005664ISBN 10: 1402005660 Pages: 264 Publication Date: 31 March 2002 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback 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 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 |