On the generalized Drazin inverse of the sum in a Banach algebra

  • Dijana Mosic
  • Daochang Zhang
Keywords: Generalized Drazin inverse, additive properties, Banach algebras.

Abstract

The objective of this paper is to study the existence of the generalized Drazin inverse of the sum a + b of two generalized Drazin invertible elements in a Banach algebra and present explicit expressions for the generalized Drazin inverse of this sum, under new conditions.

Key words: Generalized Drazin inverse, additive properties, Banach algebras.

Published
2019-12-12
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606