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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Maximum modulus algebras and analytic varieties


Authors: Donna Kumagai and Zbigniew Slodkowski
Journal: Proc. Amer. Math. Soc. 112 (1991), 125-129
MSC: Primary 46J10; Secondary 32E99, 46J15
DOI: https://doi.org/10.1090/S0002-9939-1991-1039534-2
MathSciNet review: 1039534
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Abstract: Let $ A$ be a maximum modulus algebra on $ X$, and $ V$ a maximal open subset of $ X$ such that $ V$ has the structure of one-dimensional variety on which functions from $ A$ are analytic. Then, the restriction algebra $ {A_{X\backslash V}}$ is again a maximum modulus algebra.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1039534-2
Article copyright: © Copyright 1991 American Mathematical Society