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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 932785, 14 pages
http://dx.doi.org/10.1155/2012/932785
Research Article

Fine Spectra of Symmetric Toeplitz Operators

Faculty of Arts and Sciences, Melikşah University, 38280 Kayseri, Turkey

Received 24 February 2012; Accepted 20 April 2012

Academic Editor: Natig Atakishiyev

Copyright © 2012 Muhammed Altun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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 ( 2 𝑛 + 1 )-banded symmetric Toeplitz matrix operators for arbitrary positive integer 𝑛 .