C*-Convexity of Norm Unit Balls
classification
🧮 math.FA
math.OA
keywords
m-normsmaximumnormunitballballscallcases
read the original 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).
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