Norm attaining functionals on C(T)

Norm attaining functionals on C(T)

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.

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the American Mathematical Society 1998-01, Vol.126 (1), p.153-157
Hauptverfasser: Kenderov, P. S., Moors, W. B., Sciffer, Scott
Format: Artikel
Sprache:eng
Schlagworte:
Banach space
Hausdorff spaces
Mathematical functions
Mathematical theorems
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Beschreibung
Zusammenfassung: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-98-04008-8