Boundaries for Gelfand transform image of Banach algebras of holomorphic functions
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SCOPUS
- Title
- Boundaries for Gelfand transform image of Banach algebras of holomorphic functions
- Authors
- CHOI, YUN SUNG; Mingu, Jung
- Date Issued
- 2022-09
- Publisher
- Mathematica Scandinavica
- Abstract
- In this paper, we study boundaries for the Gelfand transform image of infinite dimensional ana-logues of the classical disk algebras. More precisely, given a certain Banach algebra A of bounded holomorphic functions on the open unit ball BX of a complex Banach space X, we show that the Shilov boundary for the Gelfand transform image of A can be explicitly described for a large class of Banach spaces. Some possible application of our result to the famous Corona theorem is also briefly discussed.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/113770
- DOI
- 10.7146/math.scand.a-134348
- ISSN
- 0025-5521
- Article Type
- Article
- Citation
- Mathematica Scandinavica, 2022-09
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