Isometries of a generalized numerical radius
For 0 < |q| < 1, the q-numerical range is defined on the algebra Mn of all n x n complex matrices by Wq(A) ={x*Ay : x, y Є Cn , x*x = y*y = 1, x* y = q}. The q-numerical radius is defined by rq(A) = max{|μ| : μ Є Wq(A)}. We characterize isometries of the metric space (Mn , rq) i.e., the map...
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| Language: | English en |
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2008
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| Online Access: | http://hdl.handle.net/1828/956 |