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Isometries of a generalized numerical radius
Authors:Maria Inez Cardoso Gonç  alves,Ahmed Ramzi Sourour
Affiliation:a Departamento de Matemática, Universidade Federal de Santa Catarina, Trindade, Florianópolis, SC - 88.040-900, Brazil
b Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8P 5C2
Abstract:For 0<q<1, the q-numerical range is defined on the algebra Mn of all n×n complex matrices by
Wq(A)={xAy:x,yCn,∥x∥=∥y∥=1,〈y,x〉=q}.
Keywords:15A60   15A04   47A12   47A30
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