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arXiv · 2512.05587

Positivity of spectral shift functions and infinite-dimensional BMV conjecture

Chandan Pradhan·Anna Skripka
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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.

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Chandan Pradhan, Anna Skripka. 2025-12-05. Positivity of spectral shift functions and infinite-dimensional BMV conjecture. https://arxiv.org/abs/2512.05587

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