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arXiv · 1606.08961

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

Vladimir Peller
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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 $B_{\infty,1}^1({\Bbb R}^3)$.

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Vladimir Peller. 2016-06-29. Functions of triples of noncommuting self-adjoint operators and their perturbations. https://arxiv.org/abs/1606.08961

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