论文标题
Koplienko-neidhardt tormaries $ - $新证明
Koplienko-Neidhardt trace formula for unitaries $-$ A new proof
论文作者
论文摘要
koplienko \ cite {ko}找到了Hilbert-Schmidt类$ \ MATHCAL {B} _2（\ Mathcal {H}）$的操作员的trace公式。 1988年晚些时候，在单一操作员的情况下，Neidhardt \ Cite {NH}获得了类似的公式。在本文中，在单一操作员的情况下，我们还为Koplienko-Neidhardt痕迹公式提供了另一个证明，将问题简化为有限的尺寸尺寸，就像证明Kerin的Troiculescu \ cite \ cite {voi}，sinha和mohapatra和mohapatra \ cite cite {voi \ cite {mosi94，mosi94，sinha and Mosi94，sinha and cite {voi}的痕量公式。
Koplienko \cite{Ko} found a trace formula for perturbations of self-adjoint operators by operators of Hilbert-Schmidt class $\mathcal{B}_2(\mathcal{H})$. 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}.
