Open Access
June 2011 An operator space characterization of Fréchet spaces not containing $l^1$
Wolfgang M. Ruess
Funct. Approx. Comment. Math. 44(2): 259-264 (June 2011). DOI: 10.7169/facm/1308749128

Abstract

The classes of Fréchet spaces not containing $l^1$, of Gelfand-Phillips spaces, and of dual Gelfand-Phillips spaces are characterized by (pre)compactness criteria for sets of bounded linear operators transforming bounded sets into precompact sets.

Citation

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Wolfgang M. Ruess. "An operator space characterization of Fréchet spaces not containing $l^1$." Funct. Approx. Comment. Math. 44 (2) 259 - 264, June 2011. https://doi.org/10.7169/facm/1308749128

Information

Published: June 2011
First available in Project Euclid: 22 June 2011

zbMATH: 1230.46004
MathSciNet: MR2841183
Digital Object Identifier: 10.7169/facm/1308749128

Subjects:
Primary: 46A04 , 46B03
Secondary: 46A032

Keywords: limited sets , locally convex spaces , no-containment of $l^1$ , precompact operators

Rights: Copyright © 2011 Adam Mickiewicz University

Vol.44 • No. 2 • June 2011
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