Topological vector spaces : the theory without convexity conditions
Author(s)
Bibliographic Information
Topological vector spaces : the theory without convexity conditions
（Lecture notes in mathematics, 639）
Springer-Verlag, 1978
- : Berlin
- : New York
Available at / 75 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||6397808662S
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
: Berlin510/L4972021009154
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Note
Bibliography: p. 118-122
Includes index
Description and Table of Contents
Table of Contents
Strings and linear topologies.- Metrizable topological vector spaces.- Projective limits of topological vector spaces.- Inductive limits of topological vector spaces.- Topological direct sums, strict inductive limits.- Barrelled topological vector spaces.- The Banach-steinhaus theorem.- Barrelled spaces and the closed graph theorem.- Barrelled spaces and the open mapping theorem.- Completeness and the closed graph theorem.- Bornological spaces.- Spaces of continuous linear mappings and their completion.- Quasibarrelled spaces.- Boundedly summing spaces.- Locally topological spaces.- Spaces with an absorbing sequence.- ?-locally topological spaces.- (DF)-spaces and spaces with a fundamental sequence of compact sets.- Some examples and counter examples.
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