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Hermitian矩阵空间上保秩一的可加满射

Additive rank-one preserving surjections on Hermitian matrix spaces
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摘要 刻画了Hermitian矩阵空间Hn(C)上保秩一的可加满射Φ,给出了Φ保可逆元时的形式,以及保行列式时的形式。 It is characterized that additive rank-one preserving surjections on Hermitian matrix spaces Hn(C), given the form of φ when φ preserves the invertibility of Hn^* (C), and the form of when φ preserves the determinant.
出处 《宝鸡文理学院学报(自然科学版)》 CAS 2006年第1期1-3,31,共4页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金 国家自然科学基金资助项目(10071047)
关键词 可加映射 HERMITIAN矩阵 秩一 additive maps hermitian matrix rank-one
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参考文献5

  • 1OMLADI C M, EERML P. Additive mapping preserving operators of rank one [J]. Linear Algebra Appl, 1993, 182:239-256.
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  • 5YOU H, TANG X M. Additive preservers of rankadditivity on the space of symmetric and alternate matrices[J]. Linear Algebra Appl, 2004,380: 185-198.

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