A Note on -Potence Preservers on Matrix Spaces over Complex Field
Let be the field of all complex numbers, the space of all matrices over , and the subspace of consisting of all symmetric matrices. The map satisfies that is -potent in implying that is -potent in , where then there exist an invertible matrix and with such that for every . Moreover, th...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/581683 |
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| _version_ | 1832548682000498688 |
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| author | Xiaofei Song Chongguang Cao Baodong Zheng |
| author_facet | Xiaofei Song Chongguang Cao Baodong Zheng |
| author_sort | Xiaofei Song |
| collection | DOAJ |
| description | Let be the field of all complex numbers, the space of all matrices over , and the subspace of consisting of all symmetric matrices. The map satisfies that is -potent in implying that is -potent in , where then there exist an invertible matrix and with such that for every . Moreover, the inductive method used in this paper can be used to characterise similar maps from to . |
| format | Article |
| id | doaj-art-7db791ccafb9459297ff65a2c34e5d39 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7db791ccafb9459297ff65a2c34e5d392025-02-03T06:13:23ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/581683581683A Note on -Potence Preservers on Matrix Spaces over Complex FieldXiaofei Song0Chongguang Cao1Baodong Zheng2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Mathematical Sciences, Heilongjiang University, Harbin 150080, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaLet be the field of all complex numbers, the space of all matrices over , and the subspace of consisting of all symmetric matrices. The map satisfies that is -potent in implying that is -potent in , where then there exist an invertible matrix and with such that for every . Moreover, the inductive method used in this paper can be used to characterise similar maps from to .http://dx.doi.org/10.1155/2013/581683 |
| spellingShingle | Xiaofei Song Chongguang Cao Baodong Zheng A Note on -Potence Preservers on Matrix Spaces over Complex Field Abstract and Applied Analysis |
| title | A Note on -Potence Preservers on Matrix Spaces over Complex Field |
| title_full | A Note on -Potence Preservers on Matrix Spaces over Complex Field |
| title_fullStr | A Note on -Potence Preservers on Matrix Spaces over Complex Field |
| title_full_unstemmed | A Note on -Potence Preservers on Matrix Spaces over Complex Field |
| title_short | A Note on -Potence Preservers on Matrix Spaces over Complex Field |
| title_sort | note on potence preservers on matrix spaces over complex field |
| url | http://dx.doi.org/10.1155/2013/581683 |
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