Dissipative operators and operator Lipschitz functions
Abstract
The purpose of this paper is to obtain an integral representation for the difference f(L1)-f(L2) of functions of maximal dissipative operators. This representation in terms of double operator integrals will allow us to establish Lipschitz type estimates for functions of maximal dissipative operators. We also consider a similar problem for quasicommutators, i.e., operators of the form f(L1)R-Rf(L2).
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