Nonlinear maps preserving Lie products on triangular algebras
In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre. As an application, we described the form of bijections preserving Lie products on nest algebras and block upper triangular matrix algebras.
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-01-01
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| Series: | Special Matrices |
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| Online Access: | http://www.degruyter.com/view/j/spma.2016.4.issue-1/spma-2016-0006/spma-2016-0006.xml?format=INT |
| Summary: | In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre. As an application, we described the form of bijections preserving Lie products on nest algebras and block upper triangular matrix algebras. |
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| ISSN: | 2300-7451 |