Commuting maps on rank one triangular matrices

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

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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

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