Almost \(\alpha\)-hyponormal operators with Weyl spectrum of area zero (Q554841)
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scientific article; zbMATH DE number 5930226
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost \(\alpha\)-hyponormal operators with Weyl spectrum of area zero |
scientific article; zbMATH DE number 5930226 |
Statements
Almost \(\alpha\)-hyponormal operators with Weyl spectrum of area zero (English)
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22 July 2011
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Summary: We define the class of almost \(\alpha\)-hyponormal operators and prove that for an operator \(T\) in this class, \((T^{\ast} T)^{\alpha} - (TT^{\ast})^{\alpha}\) is trace-class, its trace is zero when \(\alpha \in (0,1]\), and the area of the Weyl spectrum is zero.
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almost \(\alpha\)-hyponormal operators
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trace-class operator
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trace
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Weyl spectrum
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0.9171552
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0.8982371
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0.8981606
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0.89688164
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