[Banach] Abstract of a paper by Alexander Koldobsky

This is an announcement for the paper "Slicing inequalities for subspaces of $L_p.$" by Alexander Koldobsky. Abstract: We show that the hyperplane conjecture holds for the classes of $k$-intersection bodies with arbitrary measures in place of volume. Archive classification: math.MG math.FA Mathematics Subject Classification: 52A20 Submitted from: koldobskiya@missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1310.8102 or http://arXiv.org/abs/1310.8102