On the norm of an idempotent Schur multiplier on the Schatten class

Banks, William; Harcharras, Asma

doi:10.1090/S0002-9939-04-07340-X

On the norm of an idempotent Schur multiplier on the Schatten class
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by William D. Banks and Asma Harcharras PDF

Proc. Amer. Math. Soc. 132 (2004), 2121-2125 Request permission

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 $1$.

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