The theorems of Glicksberg and Hurwitz for holomorphic maps in complex Banach spaces (Q1261201)
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scientific article; zbMATH DE number 404339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The theorems of Glicksberg and Hurwitz for holomorphic maps in complex Banach spaces |
scientific article; zbMATH DE number 404339 |
Statements
The theorems of Glicksberg and Hurwitz for holomorphic maps in complex Banach spaces (English)
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31 August 1993
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The aim of this paper should be a generalization of Glicksberg's and Hurwitz's theorems concerning the number of zeros of holomorphic maps to infinite-dimensional Banach spaces. Unfortunately, the assumptions of Theorem 2.2 (Hurwitz Theorem for Banach spaces) come true only in finite- dimensional Banach spaces.
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local uniform convergence
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compact open topology
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Hurwitz Theorem for Banach spaces
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number of zeros of holomorphic maps to infinite- dimensional Banach spaces
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