Characterizations of some classes of L1-preduals by the Alfsen-Effros structure topology

Rao, T. S. S. R. K. (1982) Characterizations of some classes of L1-preduals by the Alfsen-Effros structure topology Israel Journal of Mathematics, 42 (1-2). pp. 20-32. ISSN 0021-2172

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Official URL: http://www.springerlink.com/content/e2660h381g7513...

Related URL: http://dx.doi.org/10.1007/BF02765007

Abstract

Using the Alfsen-Effros structure topology on the extreme boundary of the dual unit ball of a complex Banach space, we give characterizations of L 1-preduals (i.e., Banach spaces whose duals are isometrically isomorphic to L1 (μ) for a non-negative measure μ ) and some of its subclasses viz.G-spaces, Cσ-spaces and cο (Γ ) spaces.

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