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arxiv: 1204.0929 · v1 · pith:M5BLH54Unew · submitted 2012-04-04 · 🧮 math.MG

Majorization in spaces with a curved geometry

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keywords spacesmajorizationcurvedgeometryconceptconnectionconvexitydiscuss
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The Hardy-Littlewood-P?olya majorization theorem is extended to the framework of some spaces with a curved geometry (such as the global NPC spaces and the Wasserstein spaces). We also discuss the connection between our concept of majorization and the subject of Schur convexity.

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