Open AccessNew additive results for the generalized Drazin inverse in a Banach algebra
Author(s) -
Xiaoji Liu,
Xiaolan Qin,
Julio Benítez
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1608289l
Subject(s) - drazin inverse , mathematics , banach algebra , inverse , generalized inverse , pure mathematics , banach space , algebra over a field , geometry
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 ? A.