Maximum modulus algebras and analytic varieties

Kumagai, Donna; Slodkowski, Zbigniew

doi:10.1090/S0002-9939-1991-1039534-2

Maximum modulus algebras and analytic varieties
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by Donna Kumagai and Zbigniew Slodkowski PDF

Proc. Amer. Math. Soc. 112 (1991), 125-129 Request permission

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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