ON THE GENERALIZED DRAZIN INVERSE OF THE SUM IN A BANACH ALGEBRA

DIJANA MOSIC; Daochang Zhang

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ON THE GENERALIZED DRAZIN INVERSE OF THE SUM IN A BANACH ALGEBRA

机译：在Banach代数中总和的广义DRAZIN逆

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摘要

The objective of this paper is to study the existence of the generalized Drazin inverse of the sum a + b of two generalized Drazin invertible elements in a Banach algebra and present explicit expressions for the generalized Drazin inverse of this sum, under new conditions.

机译：本文的目的是研究在Banach代数中的两种广义卓越可逆元素的总和A + B的总体脱蛋白逆的存在，并在新条件下向广义Drazin反向的明确表达。

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来源
《Quaestiones mathematicae》 |2019年第10期|1335-1344|共10页
作者
DIJANA MOSIC; Daochang Zhang;
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作者单位

Faculty of Sciences and Mathematics University of Nis P.O. Box 224 18000 Nis Serbia;

College of Sciences Northeast Electric Power University Jilin 132012 China.;

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正文语种 eng
中图分类
关键词
Generalized Drazin inverse; additive properties; Banach algebras;

机译：广义Drazin逆;添加性质;Banach代数;

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专利

1. Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices [J] . XiaojiLiu, XiaolanQin ScientificWorldJournal . 2015,第3期

机译：Banach代数中总和的广义Drazin的表示及其对某些操作员矩阵的应用
2. Group inverse and generalized Drazin inverse of block matrices in a Banach algebra [J] . Dijana Mosic Bulletin of the Korean Mathematical Society . 2014,第3期

机译：Banach代数中块矩阵的组逆和广义Drazin逆
3. On the generalized Drazin inverse in Banach algebras in terms of the generalized Schur complement [J] . Robles J., Martinez-Serrano M. F., Dopazo E. Applied mathematics and computation . 2016,第Null期

机译：关于广义Schur补数的Banach代数中的广义Drazin逆
4. The Drazin inverse of the sum of two matrices [C] . Jia-mei Li MAO;International conference of matrices and operators . 2011

机译：两个矩阵之和的Drazin逆
5. Generalized inverses in certain Banach algebras [D] . Oberbroeckling, Lisa Ann 2002

机译：某些Banach代数中的广义逆
6. Representations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices [O] . Xiaoji Liu, Xiaolan Qin 2015

机译：Banach代数中和的广义Drazin逆的表示及其在某些算子矩阵中的应用
7. On the Generalized Drazin inverse of the Sum in a Banach Algebra [O] . Dijana Mosić, Daochang Zhang 2018

机译：在Banach代数中总和的广义DRAZIN逆
8. Representations for the Generalized Inverse of Sums of Matrices II [R] . Cline, R. E. 1965

机译：矩阵和的广义逆的表示II

ON THE GENERALIZED DRAZIN INVERSE OF THE SUM IN A BANACH ALGEBRA

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