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

Ghoussoub, N.; Maurey, B.; Schachermayer, W.

doi:10.1090/S0002-9939-1987-0870785-2

A counterexample to a problem on points of continuity in Banach spaces
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by N. Ghoussoub, B. Maurey and W. Schachermayer PDF

Proc. Amer. Math. Soc. 99 (1987), 278-282 Request permission

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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