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arXiv · 2603.21351

Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations

A. B. Aleksandrov·V. V. Peller
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Abstract

We study the behaviour of functions of pairs of commuting self-adjoint operators under perturbations by relatively bounded operators. We obtain analogs of our earlier results for functions of a single self-adjoint operator under relatively bounded perturbations. The main tool is double operator integrals

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A. B. Aleksandrov, V. V. Peller. 2026-03-22. Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations. https://arxiv.org/abs/2603.21351

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