Aleksei Aleksandrov, Vladimir Peller
Published 2018-02-26Version 1
The purpose of this paper is to obtain an integral representation for the difference $f(L_1)-f(L_2)$ 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 $f(L_1)R-Rf(L_2)$.
Comments: 14 pages. arXiv admin note: text overlap with arXiv:1009.0298
Operator Lipschitz Functions
Operator Lipschitz functions on Banach spaces
Integral Representations and Decompositions of Operator Monotone Functions on the Nonnegative Reals
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