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.
@article{bwmeta1.element.doi-10_1515_spma-2016-0006,
author = {Weiyan Yu},
title = {Nonlinear maps preserving Lie products on triangular algebras},
journal = {Special Matrices},
volume = {4},
year = {2016},
pages = {56-66},
zbl = {1331.47088},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_spma-2016-0006}
}
Weiyan Yu. Nonlinear maps preserving Lie products on triangular algebras. Special Matrices, Tome 4 (2016) pp. 56-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_spma-2016-0006/
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