Posinormal operators (Q1890896)
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scientific article; zbMATH DE number 758148
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Posinormal operators |
scientific article; zbMATH DE number 758148 |
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Posinormal operators (English)
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23 May 1995
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An operator \(A\) on a Hilbert space is called posinormal if there exists a positive operator \(P\) such that \(AA^*= A^* PA\). Here we consider some examples and we explore the relationship between posinormality and familiar properties such as normality, hyponormality, and invertibility. In the process, an alternate characterization of posinormality is obtained.
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posinormal operators
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Cesàro operator
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positive operator
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hyponormality
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posinormality
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