Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces
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DOI: 10.1080/00207160.2018.1543869
Abstract: ABSTRACT This paper concerns the regular factorization and expression of the core inverse in a Hilbert space. Utilizing the regular factorization, we first give some characterizations for the existence and the expression of the group… read more here.
Keywords: preserving perturbation; core inverse; expression; perturbation ... See more keywords
On a weighted core inverse in a ring with involution
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DOI: 10.1080/00927872.2017.1378895
Abstract: ABSTRACT We define and investigate the e-core inverse and f-dual core inverse in a ring with involution as extensions of the core and dual core inverse, respectively. Using these definitions, we present and characterize the… read more here.
Keywords: inverse ring; dual core; ring involution; core inverse ... See more keywords
Determinantal Representations of the Core Inverse and Its Generalizations with Applications
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DOI: 10.1155/2019/1631979
Abstract: In this paper, we give the direct method to find of the core inverse and its generalizations that is based on their determinantal representations. New determinantal representations of the right and left core inverses, the… read more here.
Keywords: representations core; determinantal representations; core inverse; inverse generalizations ... See more keywords