TY  - JOUR
ID  - Sedai2018
LB  - Sedai2018
AU  - Sedai, Bishnu Prasad
TI  - Trace formulas for perturbations of operators with Hilbert-Schmidt resolvents
ST  - Trace formulas for perturbations of operators with Hilbert-Schmidt resolvents
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 2
SP  - 253
EP  - 260
DO  - https://doi.org/10.7494/OpMath.2018.38.2.253
UR  - https://doi.org/10.7494/OpMath.2018.38.2.253
AB  - 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.
KW  - trace formulas
SN  - 1232-9274
ER  -