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A Bishop–Stone–Weierstrass Theorem for (M2(C))^n

作者:Qi; Hui; LI; Don; HADWINweierstrass定理n次方初等证明子代数单位元纯态

摘要:In this paper, we shall give an elementary proof of a Bishop-Stone-Weierstrass theorem for (M2(C))n with respect to its pure states. To be more precise, we shall show that the pure-state Bishop hull of a unital subalgebra (not necessarily self-adjoint) of (M2(C))n is equal to itself.

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