Diametral diameter two properties in Banach spaces
Functional Analysis
2016-04-18 v4
Abstract
The aim of this note is to provide several variants of the diameter two properties for Banach spaces. We study such properties looking for the abundance of diametral points, which holds in the setting of Banach spaces with the Daugavet property, for example, and we intro- duce the diametral diameter two properties in Banach spaces, showing for these new properties stability results, inheritance to subspaces and characterizations in terms of finite rank projections.
Cite
@article{arxiv.1509.02061,
title = {Diametral diameter two properties in Banach spaces},
author = {Julio Becerra Guerrero and Ginés López Pérez and Abraham Rueda Zoca},
journal= {arXiv preprint arXiv:1509.02061},
year = {2016}
}
Comments
25 pages