Details

Autor(en) / Beteiligte

• Aleksandrov, A. B.
• Peller, V. V.

Titel

Functions of Pairs of Unbounded Noncommuting Self-Adjoint Operators under Perturbation

Ist Teil von

• Doklady. Mathematics, 2022-12, Vol.106 (3), p.407-411

Ort / Verlag

Moscow: Pleiades Publishing

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• For a pair of not necessarily bounded and not necessarily commuting self-adjoint operators and for a function f on the Euclidean space that belongs to the inhomogeneous Besov class , we define the function of these operators as a densely defined operator. We consider the problem of estimating the functions under perturbations of the pair . It is established that if , and and are pairs of not necessarily bounded and not necessarily commuting self-adjoint operators such that the operators and belong to the Schatten–von Neumann class S p with and , then the following Lipschitz type estimate holds: