Multiplicativity Factors for C-Numerical Radii.

Abstract

For two n-square matrices A,C, the C-numerical radius of A is the nonnegative quantity r sub c(A) = max(/tr(CU*AU)/ : U unitary). This generalizes the classical numerical radius r(A). It is known that r sub C constitutes a norm on the algebra of n-square matrices if and only if C is nonscalar and tr C does not = 0. For all such C we obtain multiplicativity factors for r sub C, i.e., constants a > O for which ar sub C is sub-multiplicative. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1982
Accession Number
ADA120252

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  • E. G. Straus
  • Moshe Goldberg

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  • University of California, Santa Barbara

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