چكيده فارسي :
The algebra of all bounded linear operators on a Hilbert space
H is denoted by B(H). Let A be a C*-algebra with identity and a 2 A.
If C¤(a) be the C*-algebra generated by fa; 1g, Hn, for positive integer
n, the n¡dimensional Hilbert space and CP(C¤(a);Hn; 1) the set of all
completely positive maps of C¤(a) into B(Hn) . In this paper we define
C*-algebra n¡dimensional matrix range of a by Vn(a) := fʹ(a) : ʹ 2
CP(C¤(a);Hn; 1)g, and discuss some properties.
