Abstract
Koplienko [11] found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class B2(H). Later in 1988, a similar formula was obtained by Neidhardt [19] 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 [35], Sinha and Mohapatra [30,31].
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