Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra
The skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the skew-circulant algebra is introduced. And dif...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/418194 |
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| author | Zhaolin Jiang Tingting Xu Fuliang Lu |
| author_facet | Zhaolin Jiang Tingting Xu Fuliang Lu |
| author_sort | Zhaolin Jiang |
| collection | DOAJ |
| description | The skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the skew-circulant algebra is introduced. And different operators on linear vector space that are isomorphic to the algebra of n×n complex skew-circulant matrices are displayed in this paper. |
| format | Article |
| id | doaj-art-ae9bf1dc5f9a4dc5907155366e7dcebb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ae9bf1dc5f9a4dc5907155366e7dcebb2025-08-20T03:39:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/418194418194Isomorphic Operators and Functional Equations for the Skew-Circulant AlgebraZhaolin Jiang0Tingting Xu1Fuliang Lu2Department of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaDepartment of Mathematics, Linyi University, Linyi, Shandong 276000, ChinaThe skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the skew-circulant algebra is introduced. And different operators on linear vector space that are isomorphic to the algebra of n×n complex skew-circulant matrices are displayed in this paper.http://dx.doi.org/10.1155/2014/418194 |
| spellingShingle | Zhaolin Jiang Tingting Xu Fuliang Lu Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra Abstract and Applied Analysis |
| title | Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra |
| title_full | Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra |
| title_fullStr | Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra |
| title_full_unstemmed | Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra |
| title_short | Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra |
| title_sort | isomorphic operators and functional equations for the skew circulant algebra |
| url | http://dx.doi.org/10.1155/2014/418194 |
| work_keys_str_mv | AT zhaolinjiang isomorphicoperatorsandfunctionalequationsfortheskewcirculantalgebra AT tingtingxu isomorphicoperatorsandfunctionalequationsfortheskewcirculantalgebra AT fulianglu isomorphicoperatorsandfunctionalequationsfortheskewcirculantalgebra |