Third Order Trace Formula

Arup Chattopadhyay; Kalyan B. Sinha

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arXiv · 1207.3500

Third Order Trace Formula

Arup Chattopadhyay·Kalyan B. Sinha

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Abstract

In (J. Funct. Anal. 257, 1092-1132 (2009)), Dykema and Skripka showed the existence of higher order spectral shift functions when the unperturbed self-adjoint operator is bounded and the perturbations is Hilbert-Schmidt. In this article, we give a different proof for the existence of spectral shift function for the third order when the unperturbed operator is self-adjoint (bounded or unbounded, but bounded below).

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Arup Chattopadhyay, Kalyan B. Sinha. 2012-07-15. Third Order Trace Formula. https://arxiv.org/abs/1207.3500

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