Left and right resolvents and new characterizations of left and right generalized Drazin invertible operators

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چکیده

Left and right resolvents of left generalized Drazin invertible operators are introduced in this paper. The construction allows us to find, terms the coefficients Laurent series, new representation results for inverses associated spectral projections. Fundamental characterizations also obtained, using essentially range, quasi-nilpotent part analytic core.

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ژورنال

عنوان ژورنال: Filomat

سال: 2023

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2301021o