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On the isotropic constant of Non-symmetric convex bodies

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Geometric Aspects of Functional Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1745))

Abstract

We show that Bourgain’s estimate \(L_K \leqslant c\sqrt[4]{n}\log n\)for the isotropic constant holds true for non-symmetric convex bodies as well.

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Vitali D. Milman Gideon Schechtman

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© 2000 Springer-Verlag

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Paouris, G. (2000). On the isotropic constant of Non-symmetric convex bodies. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107217

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  • DOI: https://doi.org/10.1007/BFb0107217

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41070-6

  • Online ISBN: 978-3-540-45392-5

  • eBook Packages: Springer Book Archive

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