Geodesic
Generalized Drazin-ց-meromorphic invertible operators and generalized Kato-ց-meromorphic decomposition
Filomat, Tome 36 (2022) no. 8, p. 2813

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DOI

In this paper we generalize the concept of Koliha-Drazin invertible operators by introducing generalized Drazin-ց-meromorphic invertible operators. A bounded linear operator T on a Banach space X is said to be ց-meromorphic if every non-zero point of its spectrum is an isolated point. For T we say that it is generalized Drazin-ց-meromorphic invertible if there exists a bounded linear operator S acting on X such that TS = ST, STS = S, TST − T is ց-meromorphic, while T admits a generalized Kato-ց-meromorphic decomposition if there exists a pair of T-invariant closed subspaces (M, N) such that X = M⊕N, the reduction Tm is Kato and Tn is ց-meromorphic.
DOI : 10.2298/FIL2208813Z
Classification : 47A53, 47A10
Keywords: Banach space, Kato operators, generalized Drazin invertible operators, single valued extension property, approximate point (surjective) spectrum, essential spectra 
Snežana Č Živković-Zlatanović. Generalized Drazin-ց-meromorphic invertible operators and generalized Kato-ց-meromorphic decomposition. Filomat, Tome 36 (2022) no. 8, p. 2813 . doi: 10.2298/FIL2208813Z
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     title = {Generalized {Drazin-ց-meromorphic} invertible operators and generalized {Kato-ց-meromorphic} decomposition},
     journal = {Filomat},
     pages = {2813 },
     year = {2022},
     volume = {36},
     number = {8},
     doi = {10.2298/FIL2208813Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2208813Z/}
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