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On the norm of an idempotent Schur multiplier on the Schatten class
Authors:William D Banks  Asma Harcharras
Institution:Department of Mathematics, University of Missouri, Columbia, Missouri 65211 ; Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Abstract:We show that if the norm of an idempotent Schur multiplier on the Schatten class $S^p$ lies sufficiently close to $1$, then it is necessarily equal to $1$. We also give a simple characterization of those idempotent Schur multipliers on $S^p$ whose norm is $1$.

Keywords:Idempotent Schur multiplier  Schatten class
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