Norm attaining functionals on $C(T)$
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- by P. S. Kenderov, W. B. Moors and Scott Sciffer
- Proc. Amer. Math. Soc. 126 (1998), 153-157
- DOI: https://doi.org/10.1090/S0002-9939-98-04008-8
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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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Bibliographic 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