Left and Right Generalized Drazin Invertibility of an Upper Triangular Operator Matrices with Application to Boundary Value Problems
| dc.contributor.author | Messirdi, Bekkai | |
| dc.contributor.author | Kouider, Miloud Hocine | |
| dc.contributor.author | Benharrat, Mohammed | |
| dc.date.accessioned | 2019-06-25T08:50:24Z | |
| dc.date.available | 2019-06-25T08:50:24Z | |
| dc.date.issued | 2019-01-06 | |
| dc.description.abstract | When A∈ B (H) and B∈ B (K) are given, we denote by MC the operator on the Hilbert space H⊕ K of the form MC=(AC 0 B). In this paper we investigate the quasi-nilpotent part and the analytical core for the upper triangular operator matrix MC in terms of those of A and B. We give some necessary and sufficient conditions for MC to be left or right generalized Drazin invertible operator for some C∈ 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. | en_US |
| dc.identifier.uri | http://e-biblio.univ-mosta.dz/handle/123456789/11146 | |
| dc.publisher | International Journal of Analysis and Applications | en_US |
| dc.subject | generalized drazin inverse | en_US |
| dc.subject | left generalized drazin inverse | en_US |
| dc.subject | right generalized drazin inverse | en_US |
| dc.subject | upper triangular operator matrices. | en_US |
| dc.title | Left and Right Generalized Drazin Invertibility of an Upper Triangular Operator Matrices with Application to Boundary Value Problems | en_US |
| dc.type | Article | en_US |