Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product

Render, Hermann; Sauer, Andreas

Studia Mathematica, Tome 119 (1996), p. 53-65 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1996-01-01

Zbl 0864.46029

EUDML-ID : urn:eudml:doc:216342

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     author = {Hermann Render and Andreas Sauer},
     title = {Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product},
     journal = {Studia Mathematica},
     volume = {119},
     year = {1996},
     pages = {53-65},
     zbl = {0864.46029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv121i1p53bwm}
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Render, Hermann; Sauer, Andreas. Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product. Studia Mathematica, Tome 119 (1996) pp. 53-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv121i1p53bwm/

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