Geodesic
Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators
Filomat, Tome 37 (2023) no. 1, p. 21

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DOI

Left and right resolvents of left and right generalized Drazin invertible operators are introduced in this paper. The construction of left and right resolvents allows us to find, in terms of the coefficients of Laurent series, new representation results for left and right generalized Drazin inverses and the associated spectral projections. Fundamental characterizations of left and right generalized Drazin invertible operators are also obtained, using essentially the range, the quasi-nilpotent part and the analytic core.
DOI : 10.2298/FIL2301021O
Classification : 47A10, 15A09
Keywords: Left generalized Drazin inverse, Right generalized Drazin inverse, Analytic core, Quasi-nilpotent part, Left resolvent, Right resolvent 
Djalal Ounadjela; Bekkai Messirdi; Sofiane Messirdi. Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators. Filomat, Tome 37 (2023) no. 1, p. 21 . doi: 10.2298/FIL2301021O
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     title = {Left and right resolvents and new characterizations of left and right generalized {Drazin} invertible operators},
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