Generalized Browder’s and Weyl’s theorems for generalized derivations. (English) Zbl 1321.47087
The authors study Weyl and Browder type theorems for the generalized derivation \(\rho(U) = AU-UB\), where \(A\) and \(B\) are two given operators. To this end, the authors study the isolated points of the spectrum and of the Drazin spectrum of \(\rho\). Some permanence properties of \(\rho\) are also proved.
Reviewer: Cătălin Badea (Villeneuve d’Ascq)
MSC:
| 47B47 | Commutators, derivations, elementary operators, etc. |
| 47A10 | Spectrum, resolvent |
| 47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
Keywords:
generalized Browder’s and Weyl’s theorem; generalized derivation; Drazin spectrum; polaroid operator; isoloid operatorReferences:
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