Commuting maps on rank one triangular matrices
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...
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my.um.eprints.270152022-03-14T07:06:50Z http://eprints.um.edu.my/27015/ Commuting maps on rank one triangular matrices Chooi, Wai Leong Mutalib, M. H. A. Tan, L. Y. QA Mathematics 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. Elsevier Science Inc 2021-10-01 Article PeerReviewed 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 <https://doi.org/10.1016/j.laa.2021.05.014>. 10.1016/j.laa.2021.05.014 |
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QA Mathematics Chooi, Wai Leong Mutalib, M. H. A. Tan, L. Y. Commuting maps on rank one triangular matrices |
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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. |
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Article |
| author |
Chooi, Wai Leong Mutalib, M. H. A. Tan, L. Y. |
| author_facet |
Chooi, Wai Leong Mutalib, M. H. A. Tan, L. Y. |
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Chooi, Wai Leong |
| title |
Commuting maps on rank one triangular matrices |
| title_short |
Commuting maps on rank one triangular matrices |
| title_full |
Commuting maps on rank one triangular matrices |
| title_fullStr |
Commuting maps on rank one triangular matrices |
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Commuting maps on rank one triangular matrices |
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commuting maps on rank one triangular matrices |
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Elsevier Science Inc |
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2021 |
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http://eprints.um.edu.my/27015/ |
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1735409488347791360 |
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13.160551 |