G-outer inverse of Banach spaces operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:481

Article

Mosic, Dijana¹ 

[1] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia

关键词: Outer inverse;    G-Drazin inverse;    G-Drazin partial order;    Minus partial order;   

DOI  :  10.1016/j.jmaa.2019.123501

来源: Elsevier

【 摘 要 】

The aim of this paper is to present a new generalized inverse, which is called a G-outer inverse, of operators between two Banach spaces as a generalization of G-Drazin inverses of square matrices and Banach space operators. Several characterizations of this new inverse are given. Based on the G-outer inverse, we define and characterize the G-outer partial order, extending the G-Drazin partial order to operators between two Banach spaces. We also relate this new partial order to the minus partial order. In the end, we study an outer binary relation which is an equivalence relation on the corresponding set. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free