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Lipschitz estimates for functions of Dirac and Schrödinger operators

Lipschitz estimates for functions of Dirac and Schrödinger operators

We establish new Lipschitz-type bounds for functions of operators with noncompact perturbations that produce Schatten class resolvent differences. The results apply to suitable perturbations of Dirac and Schrödinger operators, including some long-range and random potentials, and to important classes of test functions. The key feature of these bounds is an …