Additive preservers of rank on alternate matrix spaces over fields and applications

Author:

Zhang Xian

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference16 articles.

1. Linear preservers of matrices of rank-2;Beasley;Linear and Multilinear Algebra,2001

2. Additive surjections preserving rank one and applications;Cao;Georgian Math. J.,2004

3. Sur une généralisation du groupe orthogonal quatre variables;Dieudonné;Arch. Math.,1949

4. Some general techniques on linear preserver problems;Guterman;Linear Algebra Appl.,2000

5. Linear preserver problems;Li;Amer. Math. Monthly,2001

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Geometry of Alternate Matrices over Bezout Domains;Algebra Colloquium;2013-04-03

2. Diameter preserving surjection on alternate matrices;Acta Mathematica Sinica, English Series;2009-08-15

3. Additive rank-1 preservers between spaces of Hermitian matrices;Journal of Applied Mathematics and Computing;2008-02

4. Additive rank-one preservers on block triangular matrix spaces;Linear Algebra and its Applications;2006-07

5. Rank one preserving R-linear maps on spaces of self-adjoint operators on complex Hilbert spaces;Linear Algebra and its Applications;2006-07

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