C*-Convexity of Norm Unit Balls

2016/04/11 by Kian, Mohsen · 2 citations
#15A60 #47A05 #47A30 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1604.02812

Abstract

We determine those norms on B(H) whose unit ball is C*-convex. We call them M-norms and show that the class of M-norms less than a given norm enjoys a maximum element. These minimum and maximum elements will be determined in some cases. Finally, we give a constructive result to obtain M-norms on B(H).

Cited by

• A Hierarchy of Entanglement Cones via Rank-Constrained C^*-Convex Hulls
• Matrix-Test Duality: A Support-Function Characterization for C^*-Convex Families of CP Maps

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