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Trace class multipliers and spectral variation of normal matrices
Authors:S W Drury
Institution:

Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Ouest, rue Sherbrooke St. West Montreal, Que., Canada H3A 2K6

Abstract:In this article we show how to estimate the trace multiplier norm of a rank 2 matrix. As an application, an alternative proof of a theorem of Holbrook et al. (Maximal spectral distance, Linear Algebra Appl., 249 (1996) 197–205) on the maximal spectral distance between two normal matrices with prescribed eigenvalues is given.
Keywords:Schur multiplier  Normal matrices  Spectral variation
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