Fine Spectra of Symmetric Toeplitz Operators
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” (20...
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Language: | English |
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2012-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2012/932785 |
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author | Muhammed Altun |
author_facet | Muhammed Altun |
author_sort | Muhammed Altun |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-1fd5e1e6e05541139006e8069f3a1814 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-1fd5e1e6e05541139006e8069f3a18142025-02-03T01:30:14ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/932785932785Fine Spectra of Symmetric Toeplitz OperatorsMuhammed Altun0Faculty of Arts and Sciences, Melikşah University, 38280 Kayseri, TurkeyThe 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.http://dx.doi.org/10.1155/2012/932785 |
spellingShingle | Muhammed Altun Fine Spectra of Symmetric Toeplitz Operators Abstract and Applied Analysis |
title | Fine Spectra of Symmetric Toeplitz Operators |
title_full | Fine Spectra of Symmetric Toeplitz Operators |
title_fullStr | Fine Spectra of Symmetric Toeplitz Operators |
title_full_unstemmed | Fine Spectra of Symmetric Toeplitz Operators |
title_short | Fine Spectra of Symmetric Toeplitz Operators |
title_sort | fine spectra of symmetric toeplitz operators |
url | http://dx.doi.org/10.1155/2012/932785 |
work_keys_str_mv | AT muhammedaltun finespectraofsymmetrictoeplitzoperators |