A "quantum" Ramsey theorem for operator systems
A "quantum" Ramsey theorem for operator systems
复制标题
算子系统的“量子”拉姆齐定理
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
N. Weaver
中科院分区：
文献类型：
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作者：
N. Weaver
设V是M_n（C）的包含单位矩阵的线性子空间，在Hermite伴随的构造下是稳定的.证明了如果n足够大，则存在秩为k的正交投影P使得dim（PVP）= 1或k^2。
Let V be a linear subspace of M_n(C) which contains the identity matrix and is stable under the formation of Hermitian adjoints. We prove that if n is sufficiently large then there exists a rank k orthogonal projection P such that dim(PVP) = 1 or k^2.