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Document Type: | Book |
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All Authors / Contributors: |
Norbert Adasch; Bruno Ernst; Dieter Keim |
ISBN: | 0387086625 9780387086620 3540086625 9783540086628 |
OCLC Number: | 423239220 |
Description: | 125 pages ; 24 cm |
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. |
Series Title: | Lecture notes in mathematics (Springer-Verlag), 639. |
Responsibility: | Norbert Adasch, Bruno Ernst, Dieter Keim. |
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