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