On the Distribution of the psi(2)-Norm of Linear Functionals on Isotropic Convex Bodies

abstract

• It is known that every isotropic convex body K in Rn has a subgaussian direction with constant This follows from the upper bound for the volume of the body 2(K) with support function . The approach in all the related works does not provide estimates on the measure of directions satisfying a 2-estimate with a given constant r. We introduce the function and we discuss lower bounds for K (t), Information on the distribution of the 2-norm of linear functionals is closely related to the problem of bounding from above the mean width of isotropic convex bodies. 2012 Springer-Verlag Berlin Heidelberg.

authors

• Paouris, Grigoris

published proceedings

• GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS: ISRAEL SEMINAR 2006-2010

author list (cited authors)

• Giannopoulos, A., Paouris, G., & Valettas, P.

citation count

• 3

complete list of authors

• Giannopoulos, Apostolos||Paouris, Grigoris||Valettas, Petros

publication date

• January 2012

publisher

• Springer Nature  Publisher

published in

• Lecture Notes in Mathematics  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4903 Numerical And Computational Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1007/978-3-642-29849-3_13

start page

• 227

end page

• 253

volume

• 2050

URL

• http://dx.doi.org/10.1007/978-3-642-29849-3_13