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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Intrinsic volumes and linear contractions
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by Grigoris Paouris and Peter Pivovarov PDF
Proc. Amer. Math. Soc. 141 (2013), 1805-1808 Request permission

Abstract:

It is shown that intrinsic volumes of a convex body decrease under linear contractions.
References
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Additional Information
  • Grigoris Paouris
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
  • MR Author ID: 671202
  • Email: grigoris@math.tamu.edu
  • Peter Pivovarov
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
  • Address at time of publication: Department of Mathematics, University of Missouri, Columbia, Missouri 65211
  • MR Author ID: 824727
  • Email: ppivovarov@math.tamu.edu, pivovarovp@missouri.edu
  • Received by editor(s): September 16, 2011
  • Published electronically: December 13, 2012
  • Additional Notes: The first-named author is supported by the A. Sloan Foundation, BSF grant 2010288, and the U.S. National Science Foundation, grant DMS-0906150
    The second-named author held a Postdoctoral Fellowship award from the Natural Sciences and Engineering Research Council of Canada and was supported by the Department of Mathematics at Texas A&M University
  • Communicated by: Thomas Schlumprecht
  • © Copyright 2012 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 141 (2013), 1805-1808
  • MSC (2010): Primary 52A20, 52A39, 52A40
  • DOI: https://doi.org/10.1090/S0002-9939-2012-11494-7
  • MathSciNet review: 3020866