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 operator matrix.
Faculty of Science, Guangxi University for Nationalities, Nanning 530006, China.
Xiaoji
X
Liu
Faculty of Science, Guangxi University for Nationalities, Nanning 530006, China.
Xiaolan
X
Qin