The index formula and the spectral shift function for relatively trace class perturbations

Fritz Gesztesy, Yuri Latushkin, Konstantin A. Makarov +2

We compute the Fredholm index, $\mathrm{ind}(D_A)$, of the operator $D_A=(d/dt)+A$ on $L^2(\mathbb{R};\mathcal{H})$ associated with the operator path $\{A(t)\}_{t=-\infty}^{\infty…