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A characterization of Blaschke addition |
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| Authors: | Richard J Gardner Lukas Parapatits Franz E Schuster |
| Institution: | 1. Department of Mathematics, Western Washington University, Bellingham, WA 98225-9063, USA;2. Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstrasse 8–10/104, 1040 Vienna, Austria |
| Abstract: | 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. |
| Keywords: | primary 52A20 52A30 secondary 52A39 52A41 |
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