Isometries of a generalized numerical radius |
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Authors: | Maria Inez Cardoso Gonç alves,Ahmed Ramzi Sourour |
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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 |
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Abstract: | For 0<q<1, the q-numerical range is defined on the algebra Mn of all n×n complex matrices by Wq(A)={x∗Ay:x,y∈Cn,∥x∥=∥y∥=1,〈y,x〉=q}. |
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Keywords: | 15A60 15A04 47A12 47A30 |
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