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Convergence Structures and Applications to Functional Analysis
This 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.
Mathematical Reviews
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Convergence Structures 1984
No detailed description available for "Convergence Structures 1984".
Categorical Topology
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IBZ
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Kürschners Deutscher Gelehrten-Kalender 2003
First published in 1925, "Kurschners Deutscher Gelehrten-Kalender is the most eminent directory of German-speaking academics living today. Includes biographical and bibliographical information on approximately 71,800 academics.
