Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 89
The Drazin Inverse for Bounded Linear Operators
Mohammed Drissi-Alami, Mohammed Kachad
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 05, 2022
March 03, 2085
April 15, 2085

Abstract: We will present an elementary introduction to Drazin inverse (respectively generalized Drazin inverse) for bounded linear operators and we will also give some recent results of Koliha and P.Aiena, characterize the different Theorems yielded on complex Banach spaces. Furthermore we present some of the most important characterisation of Drazin inverse (respectively generalized Drazin inverse); in particular, the Drazin invertibility of a bounded linear operator T, equivalent to the finiteness of the ascent and descent of T, also, equivalent to, T is the direct sum of two operators, where the ...