On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies
Functional Analysis
2013-03-04 v3
Abstract
For a permutationally invariant unconditional convex body K in R^n we define a finite sequence (K_j), j = 1, ..., n of projections of the body K to the space spanned by first j vectors of the standard basis of R^n. We prove that the sequence of volumes (|K_1|, ..., |K_n|) is log-concave.
Keywords
Cite
@article{arxiv.1103.6232,
title = {On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies},
author = {Piotr Nayar and Tomasz Tkocz},
journal= {arXiv preprint arXiv:1103.6232},
year = {2013}
}
Comments
6 pages