Schur multiplier norms for Loewner matrices

Published 29 Mar 2013 in math.FA | (1303.7365v1)

Abstract: We study upper bounds on the Schur multiplier norm of Loewner matrices for concave and convex functions. These bounds then immediately lead to upper bounds on the ratio of Schatten $q$-norms of commutators $||\;[A,f(B)]\;||_q/||\;[A,B]\;||_q$. We also consider operator monotone functions, for which sharper bounds are obtained.

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Koenraad M. R. Audenaert

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