Open Access
Winter 2008 The boundary problem for $L_1$-preduals
Jiří Spurný
Illinois J. Math. 52(4): 1183-1193 (Winter 2008). DOI: 10.1215/ijm/1258554356

Abstract

Let $E$ be an $L_1$-predual and $B\subset B_{E^*}$ be a boundary. We show that any bounded $\sigma(E,B)$-compact subset of $E$ is weakly compact. We also present an example of an $L_1$-predual $E$ that is not angelic in the $\sigma(E,\operatorname{ext} B_{E^*})$-topology.

Citation

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Jiří Spurný. "The boundary problem for $L_1$-preduals." Illinois J. Math. 52 (4) 1183 - 1193, Winter 2008. https://doi.org/10.1215/ijm/1258554356

Information

Published: Winter 2008
First available in Project Euclid: 18 November 2009

zbMATH: 1202.46008
MathSciNet: MR2595761
Digital Object Identifier: 10.1215/ijm/1258554356

Subjects:
Primary: 46A50 , 46B50

Rights: Copyright © 2008 University of Illinois at Urbana-Champaign

Vol.52 • No. 4 • Winter 2008
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