Common fixed points of commuting holomorphic mappings in the product of \(n\) Hilbert balls (Q1199272)
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scientific article; zbMATH DE number 93895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common fixed points of commuting holomorphic mappings in the product of \(n\) Hilbert balls |
scientific article; zbMATH DE number 93895 |
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Common fixed points of commuting holomorphic mappings in the product of \(n\) Hilbert balls (English)
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16 January 1993
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This article deals with holomorphic mappings in the product \(B^ n\) of \(n\) Hilbert balls that are equipped with an \(\ell_ \infty\)-variant of the hyperbolic metric. The main result is the existence of a common fixed point for a family of commuting continuous on \(\overline {B^ n}\) mappings of \(B^ n\) which are holomorphic in \(B^ n\).
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holomorphic mappings
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hyperbolic metric
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common fixed point
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