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.
Full text not available from this repository.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 |
|---|---|
| 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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