Weyl's theorem for algebraically quasi-*-\(A\) operators (Q1943500)
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scientific article; zbMATH DE number 6147123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weyl's theorem for algebraically quasi-*-\(A\) operators |
scientific article; zbMATH DE number 6147123 |
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Weyl's theorem for algebraically quasi-*-\(A\) operators (English)
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20 March 2013
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It is shown that, if a bounded linear operator \(T\) or its adjoint \(T^{*}\) acting on a complex Hilbert space is an algebraically quasi-*-A operator, then Weyl's theorem holds for \(f(T)\) for every analytic function \(f\) on a neighborhood of the spectrum of \(T\). Also, it is established that, if \(T\) is an algebraically quasi-*-A operator, then it is polaroid.
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algebraically quasi-*-A operators
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polaroid
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Weyl's theorem
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a-Weyl's theorem
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