A bound for the spectral variation of a unitary operator

Bhatia, Rajendra ; Davis, Chandler (1984) A bound for the spectral variation of a unitary operator Linear and Multilinear Algebra, 15 (1). pp. 71-76. ISSN 0308-1087

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0308108...

Related URL: http://dx.doi.org/10.1080/03081088408817578

Abstract

Let A and B be unitary operator on a finite-dimensional space and assume ||A-B||≤∈. We show that the spectrum of B can be obtained from that of A(multiplicites counted)by moving each eigenvalue by at most ∈.

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