A bishop-stone-weierstrass theorem for (M (2)(C)) (n)

作者：Li, Qi Hui^*; Hadwin, Don

来源：Acta Mathematica Sinica-English Series, 2013, 29(8): 1515-1534.

DOI：10.1007/s10114-013-2513-5

• Bishop-Stone-Weierstrass theorem
• pure states
• C*-algebras

In this paper, we shall give an elementary proof of a Bishop-Stone-Weierstrass theorem for (M (2)(a",)) (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 (M (2)(a",)) (n) is equal to itself.

• 出版日期2013-8
• 单位华东理工大学