2000 character limit reached
Functions of triples of noncommuting self-adjoint operators and their perturbations (1606.08961v1)
Published 29 Jun 2016 in math.FA, math.CA, math.CV, and math.SP
Abstract: In this paper we study properties of functions of triples of not necessarily commuting self-adjoint operators. The main result of the paper shows that unlike in the case of functions of pairs of self-adjoint operators there is no Lipschitz type estimates in the trace norm for arbitrary functions in the Besov class $B_{\infty,1}1({\Bbb R}3)$.