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AuthorAdasch, Norbert. author
TitleTopological Vector Spaces [electronic resource] : The Theory Without Convexity Conditions / by Norbert Adasch, Bruno Ernst, Dieter Keim
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1978
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Descript VIII, 132 p. online resource


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

Mathematics Mathematics Mathematics general


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