A remark on the isotropy constant of polytopes

Alonso-Gutiérrez, D.

Resumen: 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.

Idioma: Inglés

DOI: 10.1090/S0002-9939-2010-10669-X

Año: 2011

Publicado en: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 139, 7 (2011), 2565-2569
ISSN: 0002-9939

Factor impacto JCR: 0.611 (2011)

Categ. JCR: MATHEMATICS rank: 128 / 289 = 0.443 (2011) - Q2 - T2
Categ. JCR: MATHEMATICS, APPLIED rank: 153 / 245 = 0.624 (2011) - Q3 - T2

Tipo y forma: Article (Published version)