Fine Spectra of Symmetric Toeplitz Operators

Abstract EN

The fine spectra of 2-banded and 3-banded infinite Toeplitz matrices were examined by several authors.

The fine spectra of n-banded triangular Toeplitz matrices and tridiagonal symmetric matrices were computed in the following papers: Altun, “On the fine spectra of triangular toeplitz operators” (2011) and Altun, “Fine spectra of tridiagonal symmetric matrices” (2011).

Here, we generalize those results to the (2n+1)-banded symmetric Toeplitz matrix operators for arbitrary positive integer n.