Geodesic
Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
Studia Mathematica, Tome 121 (1996) no. 1, pp. 53-65

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-121-1-53-65
Keywords: Hadamard product, $B_0$-algebras, homomorphisms

Hermann Render 1 ; Andreas Sauer 1

1 
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Hermann Render; Andreas Sauer. Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product. Studia Mathematica, Tome 121 (1996) no. 1, pp. 53-65. doi: 10.4064/sm-121-1-53-65

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