Geometry of Banach spaces with an octahedral norm
Functional Analysis
2014-10-15 v1
Abstract
We discuss the geometry of Banach spaces whose norm is octahedral or, more generally, locally or weakly octahedral. Our main results characterize these spaces in terms of covering of the unit ball.
Keywords
Cite
@article{arxiv.1401.3612,
title = {Geometry of Banach spaces with an octahedral norm},
author = {Rainis Haller and Johann Langemets},
journal= {arXiv preprint arXiv:1401.3612},
year = {2014}
}