LEFT AND RIGHT GENERALIZED DRAZIN INVERTIBILITY OF AN UPPER TRIANGULAR OPERATOR MATRICES WITH APPLICATION TO BOUNDARY VALUE PROBLEMS

被引：0

作者：

Hocine, Kouider Miloud ^{[1
]}

Messirdi, Bekkai ^{[1
]}

Benharrat, Mohammed ^{[2
]}

机构：

[1] Univ Oran 1 Ahmed Ben Bella, Dept Math, LMFAO, Oran 31000, Algeria

[2] Ecole Natl Polytech Oran Maurice Audin Ex ENSET O, Dept Math & Informat, LMFAO, BP 1523, Oran El MNaouar, Oran, Algeria

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2019年 / 17卷 / 01期

关键词：

generalized drazin inverse; left generalized drazin inverse; right generalized drazin inverse; upper triangular operator matrices; SPECTRA; DESCENT; ASCENT;

D O I：

10.28924/2291-8639-17-2019-105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

When A is an element of B(H) and B is an element of B(K) are given, we denote by M-C the operator on the Hilbert space H circle plus K of the form M-C = (A C 0 B) . In this paper we investigate the quasi-nilpotent part and the analytical core for the upper triangular operator matrix M-C in terms of those of A and B. We give some necessary and sufficient conditions for M-C to be left or right generalized Drazin invertible operator for some C is an element of B(K, H). As an application, we study the existence and uniqueness of the solution for abstract boundary value problems described by upper triangular operator matrices with right generalized Drazin invertible component.

引用

页码：105 / 121

页数：17

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