Add to ORKGAbstract. Let A be a C*-algebra. Let z be the maximal atomic projection and p a closed projection in A∗∗. It is known that x in A∗ ∗ has a continuous atomic part, i.e. zx = za for some a in A, whenever x is uniformly continuous on the set of pure states of A. Under some additional conditions, we shall show that if x is uniformly continuous on the set of pure states of A supported by p, or its weak * closure, then pxp has a continuous atomic part, i.e. zpxp = zpap for some a in A. 1
Let F be a closed face of the weak* compact convex state space of a unital C*-algebra A. The author ...
Let (A; ') be the reduced free product of infinitely many C --algebras (A ' ; ' &apo...
ABSTRACT. It has been a successful practice to define a canonical pre-ordering on a normed space usi...
Abstract. Let A be a C*-algebra. Let z be the maximal atomic projection in A∗∗. By a theorem of Brow...
Abstract. Let A be a C∗-algebra. Let z be the maximal atomic projection in A∗∗. By a theorem of Brow...
Let A be a unital simple separable C*-algebra. If A is nuclear and infinite-dimensional, it is known...
Let A be a C*-algebra, L a closed left ideal of A and p the closed projection related to L. We show ...
In a C∗-algebra, the norm estimate ‖p − q ‖ ≤ 1 holds for any pair of projections. If ‖p − q ‖ <...
AbstractWe show that the extension property for pure states of a C*-subalgebra B of a C*-algebra A l...
AbstractThree main results are obtained: (1) If D is an atomic maximal Abelian subalgebra of B(H), P...
AbstractAn abelian C∗-algebra is known to be isomorphic to the algebra of all complex continuous fun...
Let H be `2 (over C) and let B(H) denote the C*-algebra of all bounded operators on H. Fix an orthon...
AbstractLet A be the C∗-algebra associated to an arbitrary continuous field of C∗-algebras. We give ...
Abstract. We show that every operator system (and hence every unital operator algebra) has sufficien...
In this short note we give a short and elementary proof of a characteri-zation of those extreme poin...
Let F be a closed face of the weak* compact convex state space of a unital C*-algebra A. The author ...
Let (A; ') be the reduced free product of infinitely many C --algebras (A ' ; ' &apo...
ABSTRACT. It has been a successful practice to define a canonical pre-ordering on a normed space usi...
Abstract. Let A be a C*-algebra. Let z be the maximal atomic projection in A∗∗. By a theorem of Brow...
Abstract. Let A be a C∗-algebra. Let z be the maximal atomic projection in A∗∗. By a theorem of Brow...
Let A be a unital simple separable C*-algebra. If A is nuclear and infinite-dimensional, it is known...
Let A be a C*-algebra, L a closed left ideal of A and p the closed projection related to L. We show ...
In a C∗-algebra, the norm estimate ‖p − q ‖ ≤ 1 holds for any pair of projections. If ‖p − q ‖ <...
AbstractWe show that the extension property for pure states of a C*-subalgebra B of a C*-algebra A l...
AbstractThree main results are obtained: (1) If D is an atomic maximal Abelian subalgebra of B(H), P...
AbstractAn abelian C∗-algebra is known to be isomorphic to the algebra of all complex continuous fun...
Let H be `2 (over C) and let B(H) denote the C*-algebra of all bounded operators on H. Fix an orthon...
AbstractLet A be the C∗-algebra associated to an arbitrary continuous field of C∗-algebras. We give ...
Abstract. We show that every operator system (and hence every unital operator algebra) has sufficien...
In this short note we give a short and elementary proof of a characteri-zation of those extreme poin...
Let F be a closed face of the weak* compact convex state space of a unital C*-algebra A. The author ...
Let (A; ') be the reduced free product of infinitely many C --algebras (A ' ; ' &apo...
ABSTRACT. It has been a successful practice to define a canonical pre-ordering on a normed space usi...