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

Authors
Li, Qi Hui Hadwin, Don
Citation
Li, Qi Hui et Hadwin, Don, A bishop-stone-weierstrass theorem for (M 2(.))n, Acta mathematica Sinica. English series (Print) , 29(8), 2013, pp. 1515-1534
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
8
Year of publication
2013
Pages
1515 - 1534
Database
ACNP
SICI code
Abstract
In this paper, we shall give an elementary proof of a Bishop-Stone-Weierstrass theorem for (M 2(.))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(.))n is equal to itself.