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 ).
Original language | English |
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Pages (from-to) | 2081-2093 |
Number of pages | 13 |
Journal | Proceedings of the American Mathematical Society |
Volume | 147 |
Issue number | 5 |
DOIs | |
State | Published - May 2019 |
Externally published | Yes |
ID: 87314962