Koplienko-Neidhardt trace formula for unitaries $-$ A new proof
Functional Analysis
2020-10-09 v1
Abstract
Koplienko \cite{Ko} found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class . Later in 1988, a similar formula was obtained by Neidhardt \cite{NH} in the case of unitary operators. In this article, we give a still another proof of Koplienko-Neidhardt trace formula in the case of unitary operators by reducing the problem to a finite dimensional one as in the proof of Krein's trace formula by Voiculescu \cite{Voi}, Sinha and Mohapatra \cite{MoSi94,MoSi96}.
Keywords
Cite
@article{arxiv.2010.04039,
title = {Koplienko-Neidhardt trace formula for unitaries $-$ A new proof},
author = {Arup Chattopadhyay and Soma Das and Chandan Pradhan},
journal= {arXiv preprint arXiv:2010.04039},
year = {2020}
}
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20 pages