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Fine Spectra of Symmetric Toeplitz Operators

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  • Muhammed Altun

Abstract

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.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:932785
DOI: 10.1155/2012/932785
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