Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices

Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices

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. As an application we give some new representations for the generalized Drazin inverse of an opera...

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Veröffentlicht in:TheScientificWorld 2015, Vol.2015 (2015), p.1-8
Hauptverfasser: Liu, Xiaoji, Qin, Xiaolan
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Functions, Inverse
Mathematical research
Matrices
Operator theory
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Zusammenfassung: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. As an application we give some new representations for the generalized Drazin inverse of an operator matrix.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2015/156934