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arXiv · 1204.0167

Koplienko Trace Formula

Arup Chattopadhyay·Kalyan B. Sinha
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Abstract

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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Arup Chattopadhyay, Kalyan B. Sinha. 2012-04-01. Koplienko Trace Formula. https://arxiv.org/abs/1204.0167

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