Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
Volume 121 / 1996
Studia Mathematica 121 (1996), 53-65
DOI: 10.4064/sm-121-1-53-65
Abstract
Let $H(G_1)$ be the set of all holomorphic functions on the domain $G_1.$ Two domains $G_1$ and $G_2$ are called Hadamard-isomorphic if $H(G_1)$ and $H(G_2)$ are isomorphic algebras with respect to the Hadamard product. Our main result states that two admissible domains are Hadamard-isomorphic if and only if they are equal.
