算子系统的量子Ramsey定理
A "quantum" Ramsey theorem for operator systems
摘要:
设V是M_n(C)中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。
英文摘要:
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.
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