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- W2319514114 abstract "Property (gb) for a bounded linear operator T ∈ L(X), on a Banach space X, means that the points λ of the approximate point spectrum for which λI − T is upper semi B-Weyl are exactly the poles of the resolvent. In this paper we shall give several characterizations, of operators T for which property (gb) holds. These characterizations are obtained by using typical tools from local spectral theory. We also show that property (gb) holds for large classes of operators and prove the stability of property (gb) under some commuting perturbations." @default.
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- W2319514114 date "2014-01-01" @default.
- W2319514114 modified "2023-10-17" @default.
- W2319514114 title "Property (<em>gb</em>) through local spectral theory" @default.
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- W2319514114 doi "https://doi.org/10.3318/pria.2014.114.01" @default.
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