Commuting maps on rank one triangular matrices
Document Type
Article
Publication Date
10-1-2021
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.
Keywords
Commuting map, Upper triangular matrix, Rank one matrix, Functional identity, Linear preserver problem
Publication Title
Linear Algebra and its Applications
Recommended Citation
Chooi, Wai Leong; Mutalib, M. H. A.; and Tan, L. Y., "Commuting maps on rank one triangular matrices" (2021). Research Publications (2021 to 2025). 7246.
https://knova.um.edu.my/research_publications_2021_2025/7246
Divisions
Science
Funders
FRGS Research Grant Scheme (FRGS/1/2018/STG06/UM/02/9 (FP082-2018A))
Volume
626
Publisher
Elsevier Science Inc
Publisher Location
STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA