Peak set without peak points
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- by Krzysztof Jarosz PDF
- Proc. Amer. Math. Soc. 125 (1997), 1377-1379 Request permission
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
- H. G. Dales, Boundaries and peak points for Banach function algebras, Proc. London Math. Soc. (3) 22 (1971), 121–136. MR 276770, DOI 10.1112/plms/s3-22.1.121
- Theodore W. Gamelin, Uniform algebras, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1969. MR 0410387
- 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.
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
- MR Author ID: 93850
- Email: kjarosz@siue.edu
- Received by editor(s): November 8, 1995
- Communicated by: Theodore W. Gamelin
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1377-1379
- MSC (1991): Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-97-03767-2
- MathSciNet review: 1372032