Publications de l'Institut Mathématique, Nouvelle Série Vol. 83(97), pp. 37–47 (2008) 

DRAZIN INVERSES OF OPERATORS WITH RATIONAL RESOLVENTChristoph SchmoegerMathematisches Institut, Universität Karlsruhe (TH), Englerstrasse 2, 76128 Karlsruhe, GermanyAbstract: Let $A$ be a bounded linear operator on a Banach space such that the resolvent of $A$ is rational. If $0$ is in the spectrum of $A$, then it is well known that $A$ is Drazin invertible. We investigate spectral properties of the Drazin inverse of $A$. For example we show that the Drazin inverse of $A$ is a polynomial in $A$. Keywords: rational resolvent, Drazin inverse Classification (MSC2000): 47A10 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 21 Oct 2008. This page was last modified: 10 Dec 2008.
© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
