Description of the isomorphisms of spaces of holomorphic functions that commute with powers of a multiplication operator (Q1058118)
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scientific article; zbMATH DE number 3899580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Description of the isomorphisms of spaces of holomorphic functions that commute with powers of a multiplication operator |
scientific article; zbMATH DE number 3899580 |
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Description of the isomorphisms of spaces of holomorphic functions that commute with powers of a multiplication operator (English)
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1984
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Making use of a theorem of Zakharyuta and Tsar'kov, the authors describe the space of all linear continuous operators acting on the set of functions, holomorphic on certain domain in the complex plane and commuting with multiplication of some natural power of the argument z. There are given also necessary and sufficient conditions on such operators to be invertible.
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isomorphisms of spaces of holomorphic functions that commute with powers of a multiplication operator
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