Certain isometries of rectangular complex matrices |
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Authors: | Robert Grone |
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Institution: | Department of Mathematics Auburn University Auburn, Alabama 36830 USA |
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Abstract: | If s1(A) ? ? ? sm(A) are the singular values of A ? Mm,n(C), and if 1 ?k ?m ? and p ? 1, then is a unitarily invariant norm. In this paper a complete determination of the extreme points on the corresponding unit spheres is accomplished in all cases, enabling the isometries with respect to Φp,k to be determined in the case p = 1. This removes the restriction m = n in an earlier paper of the author and Marcus. |
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