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Peak set without peak points
Author(s):
Krzysztof
Jarosz
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1377-1379.
MSC (1991):
Primary 46J10
MathSciNet review:
1372032
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Abstract:
We give an example of a natural Banach function algebra on the unit disc
such that a smaller disc is a peak set for the algebra, but it does not
contain any peak point.
References:
- 1.
- H. G. Dales. Boundaries and peak points for Banach function algebras. Proc. London Math. Soc., 22(3):121-136, 1971. MR 43:2510
- 2.
- T. W. Gamelin. Uniform Algebras. Chelsea Pub. Comp., New York, 1984. MR 53:14137
- 3.
- T. G. Honary. An example of a Banach function algebra having a peak set without any peak point. In Proceedings of The Fifth Analysis Seminar at Shiraz University, pages 26-32, 1990.
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Additional Information:
Krzysztof
Jarosz
Affiliation:
Department of Mathematics, Bowling Green State University, Bowling Green, Ohio 43403
Address at time of publication:
Department of Mathematics & Statistics, Southern Illinois University, Edwardsville, Illinois 62026
Email:
kjarosz@siue.edu
DOI:
10.1090/S0002-9939-97-03767-2
PII:
S 0002-9939(97)03767-2
Received by editor(s):
November 8, 1995
Communicated by:
Theodore W. Gamelin
Copyright of article:
Copyright
1997,
American Mathematical Society
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