A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On the error estimates for the Rayleigh-Schrödinger series and the Kato-Rellich perturbation series

1989
*
Journal of the Australian Mathematical Society
*

Let A be a simple eigenvalue of a bounded linear operator T on a Banach space X, and let (T n ) be a resolvent operator approximation of T. For large n, let S n denote the reduced resolvent associated with T n and X n , the simple eigenvalue of T n near X. It is shown that sup under the assumption that all the spectral points of T which are nearest to X belong to the discrete spectrum of T. This is used to find error estimates for the Rayleigh-Schrodinger series for X and <p with initial terms

doi:10.1017/s1446788700030937
fatcat:jf3sgucdcjayljedhb6coyrrna