Two results on Fréchet Schwartz spaces

DOI10.1007/BF01207545zbMath0814.46003MaRDI QIDQ1312348

Volker Walldorf, Dietmar Vogt

Publication date: 31 January 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

continuous normcountably normed Fréchet-Schwartz spaceinfinite absolutely convex combinations of sequences converging to zeroKöthe-Schwartz spacerepresentation of precompact subsets of metrizable locally convex spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (1)

On closed subspaces of non-Archimedean nuclear Fréchet spaces with a Schauder basis

Cites Work

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• On two classes of (F)-spaces
• Every nuclear Frechet space is a quotient of a Köthe Schwartz space
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• A Note on Countably Normed Nuclear Spaces
• A Characterization of the Quasi-Normable Fréchet Spaces
• Fréchet spaces with quotients failing the bounded approximation property
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ

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