Abstract:
In the paper we study a formula of the regularized trace for a perturbation in Schatten–von Neumann class (σp, p∈N) of discrete self-adjoint operators. We prove that the regularized vanishes after deducting (p−1) terms of perturbation theory if there are no dilating gaps in the spectrum of the unperturbed operator.
Citation:
Kh. Kh. Murtazin, Z. Yu. Fazullin, “Formula of the regularized trace for perturbation in the Schatten–von Neumann of discrete operators”, Ufa Math. J., 7:4 (2015), 104–110
\Bibitem{MurFaz15}
\by Kh.~Kh.~Murtazin, Z.~Yu.~Fazullin
\paper Formula of the regularized trace for perturbation in the Schatten--von Neumann of discrete operators
\jour Ufa Math. J.
\yr 2015
\vol 7
\issue 4
\pages 104--110
\mathnet{http://mi.mathnet.ru/eng/ufa306}
\crossref{https://doi.org/10.13108/2015-7-4-104}
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Linking options:
https://www.mathnet.ru/eng/ufa306
https://doi.org/10.13108/2015-7-4-104
https://www.mathnet.ru/eng/ufa/v7/i4/p109
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