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
Divisions
Science
Funders
FRGS Research Grant Scheme (FRGS/1/2018/STG06/UM/02/9 (FP082-2018A))
Publication Title
Linear Algebra and its Applications
Volume
626
Publisher
Elsevier Science Inc
Publisher Location
STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA
COinS