Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations
Functional Analysis
2026-03-24 v1 Classical Analysis and ODEs
Complex Variables
Spectral Theory
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
Keywords
Cite
@article{arxiv.2603.21351,
title = {Functions of pairs of commuting self-adjoint operators under relatively bounded perturbations},
author = {A. B. Aleksandrov and V. V. Peller},
journal= {arXiv preprint arXiv:2603.21351},
year = {2026}
}
Comments
10 pages