Shorter Notes: On the Radon-Nikodým Property in Banach Lattices

In his recent Memoirs, Talagrand showed that under Axiom L, the weak*-Radon-Nikodým property is equivalent to the Radon-Nikodým property in a Banach lattice. In this note we prove this result by a simple method without assuming Axiom L.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1985-08, Vol.94 (4), p.736-737
Main Author: Saab, Elias
Format: Article
Language:English
Subjects:
Axioms
Banach space
Linear transformations
Mathematical functions
Mathematical lattices
Mathematics
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Summary:In his recent Memoirs, Talagrand showed that under Axiom L, the weak*-Radon-Nikodým property is equivalent to the Radon-Nikodým property in a Banach lattice. In this note we prove this result by a simple method without assuming Axiom L.
ISSN:0002-9939
1088-6826
DOI:10.2307/2044897