Approximate inverses of operators (Q1811271)
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scientific article; zbMATH DE number 1925616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate inverses of operators |
scientific article; zbMATH DE number 1925616 |
Statements
Approximate inverses of operators (English)
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21 March 2004
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Let \(H,K\) be normed spaces with the same system of scalars. The invertibility of linear (respectively nonlinear) operators \(N:H \to K\) is characterized in terms of their approximate inverses and their standard (Lipschitz) operator norm.
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linear operator
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nonlinear operator
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invertibility
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contraction
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approximate inverse
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standard norm
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Lipschitz norm
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