Topological vector spaces : the theory without convexity conditions

書誌事項

Topological vector spaces : the theory without convexity conditions

Norbert Adasch, Bruno Ernst, Dieter Keim

(Lecture notes in mathematics, 639)

Springer-Verlag, 1978

  • : Berlin
  • : New York

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注記

Bibliography: p. 118-122

Includes index

内容説明・目次

目次

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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