General trace formula for perturbations from the Gilbert-Schmidt class

DOI10.1134/S1995080223050554zbMath1529.47038OpenAlexW4386085805MaRDI QIDQ6059266

I. D. Tsopanov, Aleksandr K. Bazzaev

Publication date: 2 November 2023

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080223050554

zbMATH Keywords

resolventperturbation theoryspectrumdiscrete operatorHilbert-Schmidt operatorregularised trace

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55)

Cites Work

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• The regularized trace of a power of the Laplace operator with potential in the square
• Traces of operators
• Formula of the regularized trace for perturbation in the Schatten - von Neumann of discrete operators
• Non-nuclear perturbations of discrete operators and trace formulae

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