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.
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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