Topological Vector Spaces

The Theory Without Convexity Conditions

von Norbert Adasch, Dieter Keim, Bruno Ernst

140 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik
• ISBN: 9783540086628
• Sprache: Englisch
• Erscheinungsdatum: 01.02.1978
• Größe: 235 x 155 mm
• Verlag: Springer