Article ID Journal Published Year Pages File Type
4620652 Journal of Mathematical Analysis and Applications 2008 13 Pages PDF
Abstract

For a positive integer k, the rank-k numerical range Λk(A) of an operator A acting on a Hilbert space H of dimension at least k is the set of scalars λ such that PAP=λP for some rank k orthogonal projection P. In this paper, a close connection between low rank perturbation of an operator A and Λk(A) is established. In particular, for 1⩽r

Related Topics
Physical Sciences and Engineering Mathematics Analysis