Functions of triples of noncommuting self-adjoint operators and their perturbations

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 $B_{\infty ,1}^1({\mathbb{R}}^3)$.

10 pages

Cited by in corpus (1)

• Functions of triples of noncommuting self-adjoint operators under perturbations of class ${\mathbf{S}}_p$