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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.
- Format: Pocket/Paperback
- ISBN: 9783540086628
- Språk: Engelska
- Antal sidor: 132
- Utgivningsdatum: 1978-02-01
- Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K