Drazin-Star and Star-Drazin Inverses of Bounded Finite Potent Operators on Hilbert Spaces

نویسندگان

چکیده

Abstract The aim of this work is to extend bounded finite potent endomorphisms on arbitrary Hilbert spaces the notions Drazin-Star and Star-Drazin matrices that have been recently introduced by D. Mosi?. existence, structure main properties these operators are given. In particular, we obtain new a complex matrix. Moreover, explicit solutions some infinite linear systems from inverse endomorphism studied.

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ژورنال

عنوان ژورنال: Results in Mathematics

سال: 2021

ISSN: ['1420-9012', '1422-6383']

DOI: https://doi.org/10.1007/s00025-021-01540-0