Completely rank-nonincreasing linear maps on spaces of operators
Completely rank-nonincreasing linear maps on spaces of operators
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DOI：
10.1016/j.laa.2004.01.002
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发表时间：
2004-05
影响因子：
1.1
通讯作者：
D. Hadwin;J. Hou;H. Yousefi
中科院分区：
文献类型：
--
作者：
D. Hadwin;J. Hou;H. Yousefi
本文讨论了算子空间上秩不增、保秩、完全保秩和完全秩不增线性映射的一些结果和定理。我们证明了主要的结构等价于关于k-元组矩阵的联合相似轨道的闭包的陈述。
We discuss some results and conjectures concerning rank-nonincreasing, rank-preserving, completely rank-preserving and completely rank-nonincreasing linear maps on spaces of operators. We show that the main conjectures are equivalent to a statement about closures of joint similarity orbits of k-tuples of matrices.