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• W1995631677 abstract "We consider operator norms on rectangular matrices. When the underlying vector norms are semiabsolute/absolute and the matrices are nonnegative, we obtain an inequality involving Schur (Hadamard) products of fractional Schur powers of matrices and the product of the fractional powers of the norms of the matrices. This leads naturally to the concept of fractional Schur (nonnegative) submultiplicativity factors for a norm. As a corollary, we obtain a necessary and sufficient condition for a norm to be Schur submultiplicative on nonnegative matrices. We also consider the relation of the least fractional Schur submultiplicativity factor and the least Schur submultiplicativity factor for general matrices, and we prove some necessary and sufficient conditions for Schur submultiplicativity." @default.
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• W1995631677 date "1997-04-01" @default.
• W1995631677 modified "2023-09-25" @default.
• W1995631677 title "Norms and Inequalities Related to Schur Products of Rectangular Matrices" @default.
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• W1995631677 doi "https://doi.org/10.1137/s0895479896298877" @default.
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