“Irrational” constructions in Convex Geometry
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- by V. Milman and L. Rotem
- St. Petersburg Math. J. 29 (2018), 165-175
- DOI: https://doi.org/10.1090/spmj/1487
- Published electronically: December 27, 2017
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Abstract:
Several ways to define various “irrational” functions of convex bodies, like the geometric mean or power functions, are discussed.References
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Bibliographic Information
- V. Milman
- Affiliation: Tel Aviv University, PO Box 39040, Ramat-Aviv 69978, Israel
- MR Author ID: 125020
- ORCID: 0000-0003-4632-5487
- Email: milman@post.tau.ac.il
- L. Rotem
- Affiliation: University of Minnesota, 206 Church St. SE, Minneapolis, MN 55455, USA
- MR Author ID: 992890
- Email: lrotem@umn.edu
- Received by editor(s): October 3, 2016
- Published electronically: December 27, 2017
- Additional Notes: Research supported in part by ISF grant 826/13 and BSF grant 2012111
- © Copyright 2017 American Mathematical Society
- Journal: St. Petersburg Math. J. 29 (2018), 165-175
- MSC (2010): Primary 52A20
- DOI: https://doi.org/10.1090/spmj/1487
- MathSciNet review: 3660690
Dedicated: Dedicated to Yu. Borago on the occasion of his 80th birthday