OMC for scalar multiples of unitaries |
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| Authors: | SW Drury |
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| Institution: | Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 ouest, rue Sherbrooke Street West, Montréal, Que., Canada H3A 2K6 |
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| Abstract: | We establish the following case of the Determinantal Conjecture of Marcus M. Marcus, Derivations, Plücker relations and the numerical range, Indiana Univ. Math. J. 22 (1973) 1137-1149] and de Oliveira G.N. de Oliveira, Research problem: Normal matrices, Linear and Multilinear Algebra 12 (1982) 153-154]. Let A and B be unitary n × n matrices with prescribed eigenvalues a1, … , an and b1, … , bn, respectively. Then for any scalars t and s |
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| Keywords: | 15A15 15A42 15A57 |
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