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Peak set without peak points

Author: 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 [Enhancements On Off] (What's this?)

  • 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

Received by editor(s): November 8, 1995
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1997 American Mathematical Society

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