Similarity of an operator to an isometric operator (Q920373)
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scientific article; zbMATH DE number 4163575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Similarity of an operator to an isometric operator |
scientific article; zbMATH DE number 4163575 |
Statements
Similarity of an operator to an isometric operator (English)
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1989
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Conditions in terms of the behaviour of the resolvent are given for an operator T to be similar to an isometry. An additional condition on T is imposed: \(\dim Ker(T^*-\lambda)=1\) for \(\lambda\in D\). The conditions use an analytic function B(\(\lambda\)) such that \((T^*- \lambda)B(\lambda)=0\) for \(\lambda\in D\), B(\(\lambda\)) weakly Nevanlinna.
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similar to an isometry
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