ON THE GENERALIZED DRAZIN INVERSE IN A BANACH ALGEBRA

被引：0

作者：

Liu, Xiaoji ^{[1
]}

Qin, Yonghui ^{[2
]}

Benitez, Julio ^{[3
]}

机构：

[1] Guangxi Univ Nationalities, Coll Math & Comp Sci, Nanning 530006, Peoples R China

[2] Guilin Univ Elect Technol, Coll Math & Comp Sci, Guilin 541004, Peoples R China

[3] Univ Politecn Valencia, Inst Matemat Multidisciplinar, Dept Matemat Aplicada, E-46022 Valencia, Spain

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2019年 / 41期

关键词：

generalized Drazin inverse; Banach algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give the representations of (a + b)(d), (a + ab)(d) and (a + ba)(d) in terms of a, b, a(d) and b(d) being elements of a Banach algebra with a(3)b = ba and b(3)a = ab. We also give the representations of (a + b)(d) under the assumptions a(3)b = ba, parallel to a(D)b parallel to < 1 , and parallel to(1 - aa(D))b(D)a parallel to < 1.

引用

页码：1 / 22

页数：22

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