Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices
Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed. By utilizing the special structure of such matrices, several norm equalities and inequalities are presen...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/521214 |
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| author | Xiaoyu Jiang Kicheon Hong |
| author_facet | Xiaoyu Jiang Kicheon Hong |
| author_sort | Xiaoyu Jiang |
| collection | DOAJ |
| description | Circulant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed. By utilizing the special structure of such matrices, several norm equalities and inequalities are presented. The norm τ in consideration is the weakly unitarily invariant norm, which satisfies τA=τ(UAV). The usual operator norm and Schatten p-norm are included. Furthermore, some special cases and examples are given. |
| format | Article |
| id | doaj-art-d32c63406e024011919a9ec5153a0223 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d32c63406e024011919a9ec5153a02232025-02-03T01:23:00ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/521214521214Equalities and Inequalities for Norms of Block Imaginary Circulant Operator MatricesXiaoyu Jiang0Kicheon Hong1Department of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of KoreaDepartment of Information and Telecommunications Engineering, The University of Suwon, Wau-ri, Bongdam-eup, Hwaseong-si, Gyeonggi-do 445-743, Republic of KoreaCirculant, block circulant-type matrices and operator norms have become effective tools in solving networked systems. In this paper, the block imaginary circulant operator matrices are discussed. By utilizing the special structure of such matrices, several norm equalities and inequalities are presented. The norm τ in consideration is the weakly unitarily invariant norm, which satisfies τA=τ(UAV). The usual operator norm and Schatten p-norm are included. Furthermore, some special cases and examples are given.http://dx.doi.org/10.1155/2015/521214 |
| spellingShingle | Xiaoyu Jiang Kicheon Hong Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices Abstract and Applied Analysis |
| title | Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices |
| title_full | Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices |
| title_fullStr | Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices |
| title_full_unstemmed | Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices |
| title_short | Equalities and Inequalities for Norms of Block Imaginary Circulant Operator Matrices |
| title_sort | equalities and inequalities for norms of block imaginary circulant operator matrices |
| url | http://dx.doi.org/10.1155/2015/521214 |
| work_keys_str_mv | AT xiaoyujiang equalitiesandinequalitiesfornormsofblockimaginarycirculantoperatormatrices AT kicheonhong equalitiesandinequalitiesfornormsofblockimaginarycirculantoperatormatrices |