A remark on the Mahler conjecture: local minimality of the unit cube
Functional Analysis
2019-12-19 v1
Abstract
We prove that the unit cube is a strict local minimizer for the Mahler volume product in the class of origin symmetric convex bodies endowed with the Banach-Mazur distance.
Keywords
Cite
@article{arxiv.0905.0867,
title = {A remark on the Mahler conjecture: local minimality of the unit cube},
author = {Fedor Nazarov and Fedor Petrov and Dmitry Ryabogin and Artem Zvavitch},
journal= {arXiv preprint arXiv:0905.0867},
year = {2019}
}