The best constants for operator Lipschitz functions on Schatten classes

2012/09/18 by Caspers, Martijn, Montgomery-Smith, Stephen, Potapov, Denis +1 · 2 citations
#47A56 #47B10 #47B47 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1209.3948

Abstract

Suppose that f is a Lipschitz function on the real numbers with Lipschitz constant smaller or equal to 1. Let A be a bounded self-adjoint operator on a Hilbert space H. Let 1

Cited by

• On the best constants of Schur multipliers of higher order divided difference functions
• Higher order perturbation estimates in quasi-Banach Schatten spaces through wavelets

Related

• Operator-Lipschitz functions in Schatten-von Neumann classes
• Operator Lipschitz functions (English translation)
• Lipschitz Estimates and an application to trace formulae
• Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions
• Weak type operator Lipschitz and commutator estimates for commuting tuples