Norm attaining functionals on $C(T)$
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- by P. S. Kenderov, W. B. Moors and Scott Sciffer PDF
- Proc. Amer. Math. Soc. 126 (1998), 153-157 Request permission
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
- 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.
- J. R. Giles and W. B. Moors, Generic continuity of minimal set-valued mappings, preprint.
- I. Namioka, Radon-Nikodým compact spaces and fragmentability, Mathematika 34 (1987), no. 2, 258–281. MR 933504, DOI 10.1112/S0025579300013504
- Zbigniew Semadeni, Banach spaces of continuous functions. Vol. I, Monografie Matematyczne, Tom 55, PWN—Polish Scientific Publishers, Warsaw, 1971. MR 0296671
- Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
- Warren B. Moors, The relationship between Goldstine’s theorem and the convex point of continuity property, J. Math. Anal. Appl. 188 (1994), no. 3, 819–832. MR 1305488, DOI 10.1006/jmaa.1994.1465
Additional Information
- P. S. Kenderov
- Affiliation: The Institute of Mathematics, Bulgarian Academy of Sciences, Box 373, BG-1090, Sofia, Bulgaria
- W. B. Moors
- Affiliation: Department of Mathematics, The University of Auckland, Auckland, New Zealand
- Scott Sciffer
- Affiliation: Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
- Received by editor(s): December 18, 1995
- Received by editor(s) in revised form: June 24, 1996
- Communicated by: Dale Alspach
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 153-157
- MSC (1991): Primary 46E15
- DOI: https://doi.org/10.1090/S0002-9939-98-04008-8
- MathSciNet review: 1416093