Norm attaining functionals on 𝐶(𝑇)

Author:

Kenderov P.,Moors W.,Sciffer Scott

Abstract

It is shown that for any infinite compact Hausdorff space T T , the Bishop-Phelps set in C ( T ) C(T)^* is of the first Baire category when C ( T ) C(T) has the supremum norm.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. [1] J. R. Giles, P. S. Kenderov, W. B. Moors, and Scott Sciffer, Generic differentiability of convex functions on the dual of a Banach space, Pacific J. Math. 172 (1996), 413–431.

2. [2] J. R. Giles and W. B. Moors, Generic continuity of minimal set-valued mappings, preprint.

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