A NEW REPRESENTATION OF LEFT AND RIGHT GENERALIZED DRAZIN INVERTIBLE OPERATORS

被引：0

作者：

Messirdi, Sofiane ^{[1
,2
]}

Messirdi, Sanaa ^{[3
]}

Sadli, Bendjedid ^{[4
]}

Messirdi, Bekkai ^{[2
,5
]}

机构：

[1] Univ Oran 1 Ahmed Benbella, Dept Math, Oran, Algeria

[2] Lab Fundamental & Applicable Math Oran LMFAO, Ahmed Benbella, Algeria

[3] High Ind Inst Social Promot ISIPS Hainaut, Hainaut, Belgium

[4] Univ Tahar Moulay Saida, Dept Math, BP 138, Saida, Algeria

[5] High Sch Elect & Energet Engn Oran, Oran, Algeria

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2021年 / 27卷 / 01期

关键词：

Left generalized Drazin inverse; Right generalized Drazin inverse; Analytical core; Quasinilpotent part; Spectral projection; PERTURBATION CLASSES PROBLEM;

D O I：

10.31392/MFAT-npu26_1.2021.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to study the relationship between spectral properties of a bounded operator and its left and right generalized Drazin inverses. The description of the associated spectral projections allows us to find some new representation results and certain generalizations on left and right generalized Drazin invertible bounded operators.

引用

页码：37 / 43

页数：7

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