Location of Repository

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.Comment: 6 page

Topics:
Mathematics - Functional Analysis, 52A20 (Primary), 52A40 (Secondary)

Year: 2012

OAI identifier:
oai:arXiv.org:1103.6232

Provided by:
arXiv.org e-Print Archive

Download PDF:To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.