Topological Vector Spaces [electronic resource] : The Theory Without Convexity Conditions /
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.
Main Authors: | , , , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1978
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Subjects: | Mathematics., Mathematics, general., |
Online Access: | http://dx.doi.org/10.1007/BFb0068514 |
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Summary: | 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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