Positivity of spectral shift functions and infinite-dimensional BMV conjecture
Functional Analysis
2025-12-08 v1 Mathematical Physics
math.MP
Spectral Theory
Abstract
We obtain a solution to the Bessis-Moussa-Villani conjecture for a trace-class perturbation of a semi-bounded operator and answer affirmatively the question on positivity of higher order spectral shift functions in the setting of Schatten--von Neumann perturbations of (possibly unbounded) self-adjoint operators.
Keywords
Cite
@article{arxiv.2512.05587,
title = {Positivity of spectral shift functions and infinite-dimensional BMV conjecture},
author = {Chandan Pradhan and Anna Skripka},
journal= {arXiv preprint arXiv:2512.05587},
year = {2025}
}
Comments
15 pages