A remark on the isotropy constant of polytopes

Author:
David Alonso-Gutiérrez

Journal:
Proc. Amer. Math. Soc. **139** (2011), 2565-2569

MSC (2010):
Primary 52B99

Published electronically:
December 7, 2010

MathSciNet review:
2784825

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Abstract: It is known that the isotropy constant of any symmetric polytope with vertices is bounded by . We give a different proof of this result, which shows that the same estimate is true when the polytope is non-symmetric with vertices. We also make a remark on how an estimate of the isotropy constant of a symmetric polytope with facets of the order of , which can be easily deduced from known results, is also true for non-symmetric polytopes with facets.

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Additional Information

**David Alonso-Gutiérrez**

Affiliation:
Departmento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain

Address at time of publication:
The Fields Institute for Research in Mathematical Sciences, 222 College Street, Second Floor, Toronto, Ontario M5T 3J1, Canada

Email:
daalonso@unizar.es

DOI:
https://doi.org/10.1090/S0002-9939-2010-10669-X

Received by editor(s):
June 24, 2010

Published electronically:
December 7, 2010

Additional Notes:
The author was supported by MCYT grants (Spain) MTM2007-61446; DGA E-64

Communicated by:
Marius Junge

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.