Koplienko Trace Formula

Details Koplienko Trace Formula Koplienko Trace Formula

2012-04-01

arxiv.org/abs/1204.0167v1

Mathematics

Functional Analysis

16 pages

Scientific paper

Koplienko gave a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. Recently Gesztesy, Pushnitski and Simon gave an alternative proof of the trace formula when the operators involved are bounded. In this article, we give a still another proof and extend the formula for unbounded case by reducing the problem to a finite dimensional one as in the proof of Krein trace formula by Voiculescu, Sinha and Mohapatra.

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