Additive Results of the Drazin Inverse for Bounded Linear Operators

作者:Huang, Junjie*; Shi, Yunfeng; Chen, Alatancang
来源:Complex Analysis and Operator Theory, 2014, 8(1): 349-358.
DOI:10.1007/s11785-013-0307-5

摘要

Given two bounded linear operators and on a Banach space the formula for the Drazin inverse of is given, under the assumptions and . In particular, some recent results arising in Drazin (Am Math Mon 65:506-514, 1958), Hartwig et al. (Linear Algebra Appl 322:207-217, 2001) and Castro-Gonzalez et al. (J Math Anal Appl 350:207-215, 2009) are extended.