Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras

Linear Maps Preserving Idempotency of Products of Matrices on Upper Triangular Matrix Algebras

Let Tn be the algebra of all n × n complex upper triangular matrices. We give the concrete forms of linear injective maps on Tn which preserve the nonzero idempotency of either products of two matrices or triple Jordan products of two matrices.

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Veröffentlicht in:数学研究通讯 2009, Vol.25 (3), p.253-264
1. Verfasser: QI JING Ji GUO-XING
Format: Artikel
Sprache:eng
Schlagworte:
上三角矩阵
矩阵代数
线性映射
肌钙蛋白
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Zusammenfassung:Let Tn be the algebra of all n × n complex upper triangular matrices. We give the concrete forms of linear injective maps on Tn which preserve the nonzero idempotency of either products of two matrices or triple Jordan products of two matrices.
ISSN:1674-5647