[EN] In this article, one-sided $(b, c)$-inverses of arbitrary matrices as well as one-sided inverses along a (not necessarily square) matrix, will be studied. In addition, the $(b, c)$-inverse and the inverse along an ...
[EN] The continuity of the core inverse and the dual core inverse is studied in the setting of -algebras. Later, this study is specialized to the case of bounded Hilbert space operators and to complex matrices. In addition, ...
Benítez López, Julio; Boasso, Enrico(University of Wyoming Libraries, 2016)
[EN] Several properties of the inverse along an element are studied in the context of unitary rings. New characterizations of the existence of this inverse are proved. Moreover, the set of all invertible elements along a ...
[EN] Properties of the inverse along an element in rings with an involution, Banach algebras and C*-algebras will be studied unifying known expressions concerning generalized inverses.