Drazin inverses of operators with rational resolvent
Christoph Schmoeger · Publications de l Institut Mathematique · 2008
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.