Open AccessTrace formulas for perturbations of operators with Hilbert-Schmidt resolvents
Author(s) -
Bishnu Prasad Sedai
Publication year - 2017
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2018.38.2.253
Subject(s) - mathematics , trace (psycholinguistics) , pure mathematics , mathematical analysis , linguistics , philosophy
Trace formulas for self-adjoint perturbations \(V\) of self-adjoint operators \(H\) such that \(V\) is in Schatten class were obtained in the works of L.S. Koplienko, M.G. Krein, and the joint paper of D. Potapov, A. Skripka and F. Sukochev. In this article, we obtain an analogous trace formula under the assumptions that the perturbation \(V\) is bounded and the resolvent of \(H\) belongs to Hilbert-Schmidt class
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