论文信息 - ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS

ON INTEGRAL REPRESENTATIONS OF THE DRAZIN INVERSE IN BANACH ALGEBRAS

Abstract The purpose of this paper is to derive an integral representation of the Drazin inverse of an element of a Banach algebra in a more general situation than previously obtained by the second author, and to give an application to the Moore–Penrose inverse in a $C^*$-algebra. AMS 2000 Mathematics subject classification:Primary 46H05; 46L05

Yimin Wei | Jerry J. Koliha | N. Castro González

[1] J. J. Koliha. A generalized Drazin inverse , 1996, Glasgow Mathematical Journal.

[2] M. Drazin. Pseudo-Inverses in Associative Rings and Semigroups , 1958 .

[3] J. Koliha,et al. Power bounded and exponentially bounded matrices , 1999 .

[4] Uriel G. Rothblum,et al. A Representation of the Drazin Inverse and Characterizations of the Index , 1976 .

[5] D. Showalter,et al. Representation and computation of the pseudoinverse , 1967 .

[6] J. J. Koliha,et al. Continuity and general perturbation of the Drazin inverse for closed linear operators , 2002 .

[7] Jerry J. Koliha,et al. THE DRAZIN AND MOORE{PENROSE INVERSE IN C-ALGEBRAS , 1999 .

[8] Hebing Wu,et al. The representation and approximation for Drazin inverse , 2000 .

[9] Jerry J. Koliha,et al. Perturbation of the Drazin inverse for closed linear operators , 2000 .

[10] Wei Yimin,et al. A Characterization and Representation of the Drazin Inverse , 1996 .