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