Topological Vector Spaces [electronic resource] : The Theory Without Convexity Conditions / by Norbert Adasch, Bruno Ernst, Dieter Keim.
Material type: TextSeries: Lecture Notes in Mathematics ; 639Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1978Description: VIII, 132 p. online resourceContent type:- text
- computer
- online resource
- 9783540359180
- 510 23
- QA1-939
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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