
Let A A be a maximum modulus algebra on X X , and V V a maximal open subset of X X such that V V has the structure of one-dimensional variety on which functions from A A are analytic. Then, the restriction algebra A X β V {A_{X\backslash V}} is again a maximum modulus algebra.
Banach algebras of continuous functions, function algebras, maximum modulus algebra, structure of one-dimensional variety, locally compact space, Algebras of holomorphic functions of several complex variables, local maximum property
Banach algebras of continuous functions, function algebras, maximum modulus algebra, structure of one-dimensional variety, locally compact space, Algebras of holomorphic functions of several complex variables, local maximum property
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