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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A counterexample to a problem on points of continuity in Banach spaces


Authors: N. Ghoussoub, B. Maurey and W. Schachermayer
Journal: Proc. Amer. Math. Soc. 99 (1987), 278-282
MSC: Primary 46B20; Secondary 46B10
MathSciNet review: 870785
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Abstract: In a previous paper of the first two authors [GM] the space $ J{T_\infty }$ was constructed as a James space over a tree with infinitely many branching points. It was proved that the predual $ {B_\infty }$ of $ J{T_\infty }$ fails the "point of continuity property."

In the present paper we show that $ {B_\infty }$ has the so-called "convex point of continuity property" thus answering a question of Edgar and Wheeler [EW] in the negative.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0870785-2
PII: S 0002-9939(1987)0870785-2
Article copyright: © Copyright 1987 American Mathematical Society