The weighted g-Drazin inverse for operators

Journal of the Australian Mathematical Society

A. Dajić¹ 

[1] J. J. Koliha

关键词: primary 47A60;    46H30;    47A05;    47A10;   

DOI  :  10.1017/S1446788700016013

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The paper introduces and studies the weighted g-Drazin inverse for bounded linear operators between Banach spaces, extending the concept of the weighted Drazin inverse of Rakočević and Wei (Linear Algebra Appl. 350 (2002), 25–39) and of Cline and Greville (Linear Algebra Appl. 29 (1980), 53–62). We use the Mbekhta decomposition to study the structure of an operator possessing the weighted g-Drazin inverse, give an operator matrix representation for the inverse, and study its continuity. An open problem of Rakočević and Wei is solved.

【 授权许可】

Unknown