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A characterization of Blaschke addition

A characterization of Blaschke addition as a map between origin-symmetric convex bodies is established. This results from a new characterization of Minkowski addition as a map between origin-symmetric zonoids, combined with the use of Lévy-Prokhorov metrics. A full set of examples is provided that show the results are in a sense the best possible.

preprint2015arXivOpen access
Richard J. GardnerLukas ParapatitsFranz E. Schuster
math.MG
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Open access3 authors1 topic
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Citations: 0Reviews: 0Saves: 0Code: not linkedDataset: not linkedInstitutions: 0

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Richard J. GardnerLukas ParapatitsFranz E. Schuster

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