Paranormal and \((p,k)\)-quasihyponormal operators: spectral continuity (Q997539)
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scientific article; zbMATH DE number 5177412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paranormal and \((p,k)\)-quasihyponormal operators: spectral continuity |
scientific article; zbMATH DE number 5177412 |
Statements
Paranormal and \((p,k)\)-quasihyponormal operators: spectral continuity (English)
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7 August 2007
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Let \(B(H)\) be the algebra of bounded linear operators on a separable complex Hilbert space \(H\) and let \(\sigma(T)\) denote the spectrum of \(T\). The function \(\sigma\) is viewed as a function from \(B(H)\) into the set of compact subsets of \(C\). In this paper, the author shows the continuity of \(\sigma\) on \((p,k)\)-quasihyponormal and paranormal operators. Moreover, the author discusses the continuity of Weyl spectrum and Browder spectrum.
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Hilbert space
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classes of operators
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continuity of the spectrum
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0.8702216148376465
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0.8643788695335388
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0.8619505167007446
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