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In this chapter, we explore a notion of convexity that is compatible with the matrix structures over operator systems. In classical convexity, we have the Krein–Milman theorem and its relatives which identify the extreme points as the distinguishing feature of compact convex sets. Further to that is the subject of Choquet theory.

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Noncommutative Convexity

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  • 发表日期：

    2025年

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  • Kenneth R. Davidson

摘要

In this chapter, we explore a notion of convexity that is compatible with the matrix structures over operator systems. In classical convexity, we have the Krein–Milman theorem and its relatives which identify the extreme points as the distinguishing feature of compact convex sets. Further to that is the subject of Choquet theory.