Norms of Minimal Projections
Functional Analysis
2016-09-06 v1
Abstract
It is proved that the projection constants of two- and three-dimensional spaces are bounded by and , respectively. These bounds are attained precisely by the spaces whose unit balls are the regular hexagon and dodecahedron. In fact, a general inequality for the projection constant of a real or complex -dimensional space is obtained and the question of equality therein is discussed.
Cite
@article{arxiv.math/9211211,
title = {Norms of Minimal Projections},
author = {Hermann König and Nicole Tomczak-Jaegermann},
journal= {arXiv preprint arXiv:math/9211211},
year = {2016}
}