Weyl's theorem for algebraically absolute-\((p, r)\)-paranormal operators (Q610028)
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scientific article; zbMATH DE number 5822500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weyl's theorem for algebraically absolute-\((p, r)\)-paranormal operators |
scientific article; zbMATH DE number 5822500 |
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Weyl's theorem for algebraically absolute-\((p, r)\)-paranormal operators (English)
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1 December 2010
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The authors study some properties of absolute-\((p,r)\)-paranormal operators. If \(T\) is an algebraically absolute-\((p,r)\)-paranormal operator, then it is proved that Weyl's and generalized Weyl's theorem hold for \(T\) and for functions of \(T\) (under some conditions).
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absolute-\((p,r)\)-paranormal operators
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nilpotent
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normaloid
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Riesz idempotent
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single valued extension property
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stable index
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Drazin invertible
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Drazin spectrum
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Weyl's theorem
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0.97051346
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0.9659777
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0.94796824
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0.9474636
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0.9402233
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