On the Generalized Drazin Inverse and Generalized Resolvent |
| |
Authors: | Dragan S Djordjevic Predrag S Stanimirovic |
| |
Institution: | (1) Faculty of Sciences, Department of Mathematics, University of Nis, Cirila i Metodija 2, 18000 Nis, Yugoslavia |
| |
Abstract: | We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebras. The Laurent expansion of the generalized resolvent in Banach algebras is introduced. The Drazin index of a Banach algebra element is characterized in terms of the existence of a particularly chosen limit process. As an application, the computing of the Moore-Penrose inverse in >C
*-algebras is considered. We investigate the generalized Drazin inverse as an outer inverse with prescribed range and kernel. Also, 2 × 2 operator matrices are considered. As corollaries, we get some well-known results. |
| |
Keywords: | Drazin inverse generalized resolvent limit processes outer inverses operator matrices |
本文献已被 SpringerLink 等数据库收录! |