The peturbation of the singular spectrum

Abstract

This paper designates a subset of the spectrum of a bounded self adjoint operator on a complex separable Hubert space.The set is called the singular spectrum and is distinguished by the fact that it is a support for the singular part of the spectral measure of the operator.The behavior of the singular spectrum, when the operator is perturbed by a bounded self adjoint operator, is studied.The thrust of these results is to give conditions sufficient for the perturbed operator to have no singular spectrum.

Locations

• Pacific Journal of Mathematics - View - PDF
• Project Euclid (Cornell University) - View - PDF