Year: 2009
Author: Jing Qi, Guoxing JI
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 253–264
Abstract
Let $\mathcal{T}_n$ be the algebra of all $n × n$ complex upper triangular matrices. We give the concrete forms of linear injective maps on $\mathcal{T}_n$ which preserve the nonzero idempotency of either products of two matrices or triple Jordan products of two matrices.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19332
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 253–264
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: linear map matrix idempotent product of two matrices triple Jordan product of two matrices.