Topological Vector Spaces: The Theory Without Convexity Conditions / Edition 1

Topological Vector Spaces: The Theory Without Convexity Conditions / Edition 1

ISBN-10:
3540086625
ISBN-13:
9783540086628
Pub. Date:
04/15/1978
Publisher:
Springer Berlin Heidelberg

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Product Details

ISBN-13: 9783540086628
Publisher: Springer Berlin Heidelberg
Publication date: 04/15/1978
Series: Lecture Notes in Mathematics , #639
Edition description: 1978
Pages: 132
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

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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