Open Access
June 2014 Locally convex spaces not containing $l^1$
Wolfgang M. Ruess
Funct. Approx. Comment. Math. 50(2): 351-358 (June 2014). DOI: 10.7169/facm/2014.50.2.9

Abstract

The criteria for non-containment of $l^1$ for the classes of Banach and Fréchet spaces are extended to the class of locally complete locally convex spaces the bounded sets of which are metrizable.

Citation

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Wolfgang M. Ruess. "Locally convex spaces not containing $l^1$." Funct. Approx. Comment. Math. 50 (2) 351 - 358, June 2014. https://doi.org/10.7169/facm/2014.50.2.9

Information

Published: June 2014
First available in Project Euclid: 26 June 2014

zbMATH: 1339.46003
MathSciNet: MR3229065
Digital Object Identifier: 10.7169/facm/2014.50.2.9

Subjects:
Primary: 46A04 , 46A08
Secondary: 46B03

Keywords: limited sets , locally convex spaces , non-containment of $l^1$

Rights: Copyright © 2014 Adam Mickiewicz University

Vol.50 • No. 2 • June 2014
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