[Banach] Abstract of a paper by Shahar Mendelson

This is an announcement for the paper "A remark on the diameter of random sections of convex bodies" by Shahar Mendelson. Abstract: We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles. Archive classification: math.FA Submitted from: shahar.mendelson@anu.edu.au The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.3608 or http://arXiv.org/abs/1312.3608