2 problems

Let $k\geq 2$ and consider a tridiagonal $k$-Toeplitz matrix with symbol whose eigenvalues are denoted by $\lambda_j(z)$. The eigenvectors are said to exhibit exponential decay whe…

Let $A_\lambda$ be the operator whose spectral contribution to the purity is given by Eq. (Ifp), and let the kernel contribution arising from the localized left and right generaliz…