Operator analogue of the Krein-Milman theorem in the generalized state spaces |
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| Authors: | WU Wei |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062 Institute of Mathematics, Chinese Academy of Sciences, |
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| Abstract: | We discuss the Krein-Milman-type problems in the C* -convexity theory for the generalized state space
 of C*-algebraA. The main results are that every BW-compact, C*-convex subset of
 possesses a C*-extreme point and every BW-compact, C* -convex subset of
 is the C*-convex hull of its C*-extreme points. |
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| Keywords: | C*-convexity C*-extreme point generalized state space Krein-Milman-type problems |
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