Back to Search Start Over

Some Results on the Symmetric Representation of the Generalized Drazin Inverse in a Banach Algebra.

Authors :
Qin, Yonghui
Liu, Xiaoji
Benítez, Julio
Source :
Symmetry (20738994). Jan2019, Vol. 11 Issue 1, p105. 1p.
Publication Year :
2019

Abstract

Based on the conditions a b 2 = 0 and b π (a b) ∈ A d , we derive that (a b) n , (b a) n , and a b + b a are all generalized Drazin invertible in a Banach algebra A , where n ∈ N and a and b are elements of A. By using these results, some results on the symmetry representations for the generalized Drazin inverse of a b + b a are given. We also consider that additive properties for the generalized Drazin inverse of the sum a + b . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
11
Issue :
1
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
134329158
Full Text :
https://doi.org/10.3390/sym11010105