- -

Listar por palabra clave "Generalized Drazin inverse"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Generalized Drazin inverse"

Ordenar por:Orden:Resultados:

  • thumb
    New Additive Results for the Generalized Drazin Inverse in a Banach Algebra 
    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 ...
  • Icon
    On the generalized Drazin inverse in a Banach algebra 
    LIU, XIAOJI; Qin, Yonghui; Benítez López, Julio (Forum Editrice Universitaria Udinese, 2019-02)
    [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) ...
  • thumb
    Some Results on the Symmetric Representation of the Generalized Drazin Inverse in a Banach Algebra 
    Qin, Yonghui; Liu, Xiaoji; Benítez López, Julio (MDPI AG, 2019-01-17)
    [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 ...
  • thumb
    The inverse along an element in rings 
    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 ...