On C*-Extreme Maps and *-Homomorphisms of a Commutative C*-Algebra
نویسندگان
چکیده
منابع مشابه
On C ∗-extreme Maps and ∗-homomorphisms of a Commutative C ∗-algebra
The generalized state space of a commutative C-algebra, denoted SH(C(X)), is the set of positive unital maps from C(X) to the algebra B(H) of bounded linear operators on a Hilbert space H. C-convexity is one of several non-commutative analogs of convexity which have been discussed in this context. In this paper we show that a C-extreme point of SH(C(X)) satisfies a certain spectral condition on...
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The generalized state space of a commutative C *-algebra, denoted S H (C(X)), is the set of positive unital maps from C(X) to the algebra B(H) of bounded linear operators on a Hilbert space H. C *-convexity is one of several non-commutative analogs of convexity which have been discussed in this context. We show that a C *-extreme point of S H (C(X)) satisfies a certain spectral condition on the...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2009
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-009-1662-5