534 research outputs found
Representations for generalized Drazin inverse of operator matrices over a Banach space
In this paper we give expressions for the generalized Drazin inverse of a
(2,2,0) operator matrix and a operator matrix under certain
circumstances, which generalizes and unifies several results in the literature
Weak core and central weak core inverse in a proper -ring
In this paper, we introduce the notion of weak core and central weak core
inverse in a proper -ring. We further elaborate on these two classes by
producing a few representation and characterization of the weak core and
central weak core invertible elements. We investigate additive properties and a
few explicit expressions for these two classes of inverses through other
generalized inverses. In addition to these, numerical examples are provided to
validate a few claims on weak core and central weak core inverses.Comment: 20 pages, 1 figur
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