On centered and weakly centered operators (Q1891799)
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scientific article; zbMATH DE number 764001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On centered and weakly centered operators |
scientific article; zbMATH DE number 764001 |
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On centered and weakly centered operators (English)
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27 November 1995
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The authors show that if \(C\) is a contraction of spectral radius 1 then \(T\) is polynomially bounded if and only if the same is true of \(T\otimes C\). As a corollary, they obtain that every invertible, centered, polynomially bounded operator is similar to a contraction. They also prove a structure theorem for weakly centered operators.
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polynomially bounded
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every invertible, centered, polynomially bounded operator is similar to a contraction
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