Weyl type theorems for left and right polaroid operators (Q2906295)
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scientific article; zbMATH DE number 6077336
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weyl type theorems for left and right polaroid operators |
scientific article; zbMATH DE number 6077336 |
Statements
5 September 2012
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localized (SVEP)
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semi \(B\)-Brower operators
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left and right Drazin invertibility
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Weyl's theorem
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property (\(w\))
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Weyl type theorems for left and right polaroid operators (English)
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An operator defined on Banach space is said to be polaroid if every isolated point of its spectrum is a pole of the resolvent. The authors introduce definitions of left and right polaroid operators. These concepts are used together with the condition of being \(a\)-polaroid. Equivalences of Weyl type theorems and generalized Weyl type theorems are investigated for left and \(a\)-polaroid operators. Some applications of the obtained results are given.
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