Functiones et Approximatio Commentarii Mathematici

Locally convex spaces not containing $l^1$

Wolfgang M. Ruess

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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.

Article information

Source
Funct. Approx. Comment. Math., Volume 50, Number 2 (2014), 351-358.

Dates
First available in Project Euclid: 26 June 2014

Permanent link to this document
https://projecteuclid.org/euclid.facm/1403811848

Digital Object Identifier
doi:10.7169/facm/2014.50.2.9

Mathematical Reviews number (MathSciNet)
MR3229065

Zentralblatt MATH identifier
1339.46003

Subjects
Primary: 46A04: Locally convex Fréchet spaces and (DF)-spaces 46A08: Barrelled spaces, bornological spaces
Secondary: 46B03: Isomorphic theory (including renorming) of Banach spaces

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

Citation

Ruess, Wolfgang M. Locally convex spaces not containing $l^1$. Funct. Approx. Comment. Math. 50 (2014), no. 2, 351--358. doi:10.7169/facm/2014.50.2.9. https://projecteuclid.org/euclid.facm/1403811848


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