Characterizations of Nonlinear Lie Derivations of B(X)
Let X be an infinite dimensional Banach space, and Φ:B(X)→B(X) is a nonlinear Lie derivation. Then Φ is the form δ+τ where δ is an additive derivation of B(X) and τ is a map from B(X) into its center ZB(X), which maps commutators into the zero.
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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/10.1155/2013/245452 |
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| _version_ | 1832564736782237696 |
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| author | Donghua Huo Baodong Zheng Hongyu Liu |
| author_facet | Donghua Huo Baodong Zheng Hongyu Liu |
| author_sort | Donghua Huo |
| collection | DOAJ |
| description | Let X be an infinite dimensional Banach space, and Φ:B(X)→B(X) is a nonlinear Lie derivation. Then Φ is the form δ+τ where δ is an additive derivation of B(X) and τ is a map from B(X) into its center ZB(X), which maps commutators into the zero. |
| format | Article |
| id | doaj-art-27db0ab28e584ad5a2a193e90e405de1 |
| 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-27db0ab28e584ad5a2a193e90e405de12025-02-03T01:10:20ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/245452245452Characterizations of Nonlinear Lie Derivations of B(X)Donghua Huo0Baodong Zheng1Hongyu Liu2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Mudanjiang Normal College, Mudanjiang 157012, ChinaLet X be an infinite dimensional Banach space, and Φ:B(X)→B(X) is a nonlinear Lie derivation. Then Φ is the form δ+τ where δ is an additive derivation of B(X) and τ is a map from B(X) into its center ZB(X), which maps commutators into the zero.http://dx.doi.org/10.1155/2013/245452 |
| spellingShingle | Donghua Huo Baodong Zheng Hongyu Liu Characterizations of Nonlinear Lie Derivations of B(X) Abstract and Applied Analysis |
| title | Characterizations of Nonlinear Lie Derivations of B(X) |
| title_full | Characterizations of Nonlinear Lie Derivations of B(X) |
| title_fullStr | Characterizations of Nonlinear Lie Derivations of B(X) |
| title_full_unstemmed | Characterizations of Nonlinear Lie Derivations of B(X) |
| title_short | Characterizations of Nonlinear Lie Derivations of B(X) |
| title_sort | characterizations of nonlinear lie derivations of b x |
| url | http://dx.doi.org/10.1155/2013/245452 |
| work_keys_str_mv | AT donghuahuo characterizationsofnonlinearliederivationsofbx AT baodongzheng characterizationsofnonlinearliederivationsofbx AT hongyuliu characterizationsofnonlinearliederivationsofbx |