[EN] In this work, given a unital Banach algebra A and a \in A such that a has a Moore-Penrose inverse a^+, it will be characterized when a^+ a - a a^+ is invertible. A particular subset of this class of objects wil also ...
Liu, X.; Qin, Xiaolan; Benítez López, Julio(Faculty of Sciences and Mathematics, University of Nis, Serbia, 2016)
In this paper, we investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a + b, under new conditions on a,b is ...
[EN] We give the representations of (a + b)(d), (a + ab)(d) and (a + ba)(d) in terms of a, b, a(d) and b(d) being elements of a Banach algebra with a(3)b = ba and b(3)a = ab. We also give the representations of (a + b)(d) ...
Bonet Solves, José Antonio; Ricker, Werner J.(Springer-Verlag, 2020-07)
[EN] The discrete Cesàro operator C acts continuously in various classical Banach sequence spaces within CN. For the coordinatewise order, many such sequence spaces X are also complex Banach lattices [eg. c0,¿p for 1<p¿¿, ...
Benítez López, Julio; Liu, X.; Qin, Y.(University of Prishtina, 2013-02-16)
[EN] In this paper, we investigate additive properties for the generalized Drazin inverse in a Banach algebra
A. We give some representations for the generalized Drazin inverse of a+b, where a and b are elements of A under ...
[EN] Based on the conditions ab(2) = 0 and b pi(ab) is an element of A(d), we derive that (ab)(n), (ba)(n), and ab + ba are all generalized Drazin invertible in a Banach algebra A, where n is an element of N and a and b ...