Chooi, Wai Leong and Mutalib, M. H. A. and Tan, L. Y.
(2021)
*Commuting maps on rank one triangular matrices.*
Linear Algebra and its Applications, 626.
pp. 34-55.
ISSN 0024-3795,
DOI https://doi.org/10.1016/j.laa.2021.05.014.

## Abstract

Let n >= 2 be an integer and let T-n(F) be the algebra of n x n upper triangular matrices over an arbitrary field F. In this paper, a complete structural characterization of commuting additive maps psi : T-n(F) -> T-n(F) on rank one triangular matrices, i.e., additive maps psi satisfying psi(A)A = A psi(A) for all rank one matrices A is an element of T-n(F), is established. (C) 2021 Elsevier Inc. All rights reserved.

Item Type: | Article |
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Funders: | FRGS Research Grant Scheme (FRGS/1/2018/STG06/UM/02/9 (FP082-2018A)) |

Uncontrolled Keywords: | Commuting map; Upper triangular matrix; Rank one matrix; Functional identity; Linear preserver problem |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science |

Depositing User: | Ms Zaharah Ramly |

Date Deposited: | 14 Mar 2022 07:06 |

Last Modified: | 14 Mar 2022 07:06 |

URI: | http://eprints.um.edu.my/id/eprint/27015 |

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