Left and right generalized drazin invertible operators on banach spaces and applications

Ferreyra, David Eduardo; Lattanzi, M.; Levis, Fabián Eduardo; Thome, N.

info:eu-repo/semantics/article

Fecha

2019-09

Registro en:

Ferreyra, David Eduardo; Lattanzi, M.; Levis, Fabián Eduardo; Thome, N.; Left and right generalized drazin invertible operators on banach spaces and applications; Element; Operators And Matrices; 13; 3; 9-2019; 569-583

1846-3886

http://hdl.handle.net/11336/129726

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4312483

Autor

Ferreyra, David Eduardo

Lattanzi, M.

Levis, Fabián Eduardo

Thome, N.

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

In this paper, left and right generalized Drazin invertible operators on Banach spaces are defined and characterized by means of the generalized Kato decomposition. Then, new binary relations associated with these operators are presented and studied. In addition, a new characterization of the generalized Drazin pre-order and a sufficient condition for that to be a partial order are given by using a matrix operator technique.

Materias

DRAZIN PRE-ORDER

LEFT AND RIGHT GENERALIZED DRAZIN INVERSES

MATRIX OPERATOR TECHNIQUE

MBEKHTA DECOMPOSITION

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