Abstract
Let M n denote the algebra of all n×n complex matrices and ||.|| p be the Schatten's p-norm on M n . For each A∈m n , a linear operator S A on Min is defined by S A (X) :=AoX for all X∈M n , where o denotes the Schur product and ||S A || p,q is defined as the operator norm from (M n , ||.|| p ) to (M n , ||.|| q ) for p, q≥1
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