An operator space characterization of Fréchet spaces not containing \(l^1\)

DOI10.7169/facm/1308749128zbMath1230.46004OpenAlexW2055384849MaRDI QIDQ548509

Wolfgang M. Ruess

Publication date: 29 June 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1308749128

zbMATH Keywords

locally convex spaceslimited setsprecompact operatorsnon-containment of \(l^1\)

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Linear operators defined by compactness properties (47B07) General theory of locally convex spaces (46A03) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items (1)

Locally convex spaces not containing \(l^1\)

Cites Work

• Théorie des distributions à valeurs vectorielles
• Compactness and collective compactness in spaces of compact operators
• On limitedness in locally convex spaces
• A Characterization of Banach Spaces Containing l ¹
• Compact sets of compact operators in absence of $l^{1}$
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