Algebras of Polynomials Generated by Linear Operators

Abstract

) is an A-valued uniform algebra and that, under certain conditions, it is isometrically isomorphic to the injective tensor product P N (K) ⊗ǫ A, where P N (K) is the uniform algebra on K generated by nuclear scalar-valued polynomials. The character space of È(K, A) is then identified with KN × M(A), where KN is the nuclear polynomially convex hull of K in E, and M(A) is the character space of A.