Journal of Operator Theory

Volume 41, Issue 1, Winter 1999 pp. 55-68.

Continuity of the Drazin inverse

Authors: Vladimir Rakocevic
Author institution: University of Nis, Faculty of Philosophy, Department of Mathematic, Cirila and Metodija 2, 18000 Nis, Yugoslavia

Summary: In this paper we investigate the continuity of the Drazin inverse of a bounded linear operator on Banach space. Then as a corollary, among other things, we get the well known result of Campbell and Meyer ([1]) for the continuity of the Drazin inverse of square matrix.

Keywords: Drazin inverse, continuity of the Drazin inverse, bounded linear operator

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