On the Structure of Maximum Modulus Algebras
نویسنده
چکیده
i.e., if every fER attains its maximum modulus on C. As a matter of convenience, we shall, in this paper, abbreviate "maximum modulus algebra on K" to "ilf-algebra." Examples of Af-algebras which come to mind immediately are (a) the algebra ft consisting of all functions which are continuous on K and analytic in U, (b) any subalgebra of ft, (c) any algebra (B which is equivalent to an algebra of analytic functions via a homeomorphism of K, i.e., any algebra (B with which there is associated a homeomorphism h of K into the complex plane, such that every /£ (B is of the form
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