Topological Vector Spaces: The Theory Without Convexity Conditions (Lecture Notes in Mathematics)

Norbert Adasch, Bruno Ernst, Dieter Keim

ISBN 10: 3540086625 / ISBN 13: 9783540086628

Editore: Springer 2009-02-22, 2009

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Codice articolo 6666-IUK-9783540086628

Dati bibliografici

• Titolo: Topological Vector Spaces: The Theory Without Convexity Conditions (Lecture Notes in Mathematics)
• Editore: Springer 2009-02-22
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540086625
• ISBN 13: 9783540086628
• Rilegatura: Paperback
• Condizione: New

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Contenuti

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.