Operator-Lipschitz estimates for the singular value functional calculus

Published 17 Mar 2015 in math.FA | (1503.05023v1)

Abstract: We consider a functional calculus for compact operators, acting on the singular values rather than the spectrum, which appears frequently in applied mathematics. Necessary and sufficient conditions for this singular value functional calculus to be Lipschitz-continuous with respect to the Hilbert-Schmidt norm are given. We also provide sharp constants.

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