Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Norm attaining functionals on $C(T)$

Author(s): P. S. Kenderov; W. B. Moors; Scott Sciffer
Journal: Proc. Amer. Math. Soc. 126 (1998), 153-157.
MSC (1991): Primary 46E15
MathSciNet review: 1416093
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Abstract: It is shown that for any infinite compact Hausdorff space $T$ , the Bishop-Phelps set in $C(T)^*$ is of the first Baire category when $C(T)$ has the supremum norm.

References:

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[6]: W. B. Moors, The relationship between Goldstine's theorem and the convex point of continuity property, J. Math. Anal. and Appl. 188 (1994), 819-832. MR 95k:46024

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