On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies

Details On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies

2011-03-31

arxiv.org/abs/1103.6232v3

Mathematics

Functional Analysis

6 pages

Scientific paper

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.

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