Open Access
Spring 2002 Topological vector spaces of Bochner measurable functions
Lech Drewnowski, Iwo Labuda
Illinois J. Math. 46(1): 287-318 (Spring 2002). DOI: 10.1215/ijm/1258136155

Abstract

The notion of a topological vector space of Bochner measurable functions is introduced and studied. Among the main results obtained are characterizations of completeness and of containment of copies of $c_0$ or $\ell_\infty$.

Citation

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Lech Drewnowski. Iwo Labuda. "Topological vector spaces of Bochner measurable functions." Illinois J. Math. 46 (1) 287 - 318, Spring 2002. https://doi.org/10.1215/ijm/1258136155

Information

Published: Spring 2002
First available in Project Euclid: 13 November 2009

zbMATH: 1024.46011
MathSciNet: MR1936090
Digital Object Identifier: 10.1215/ijm/1258136155

Subjects:
Primary: 46E40
Secondary: 46E30

Rights: Copyright © 2002 University of Illinois at Urbana-Champaign

Vol.46 • No. 1 • Spring 2002
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