Daugavet- and Delta-points in absolute sums of Banach spaces
Functional Analysis
2020-01-20 v1
Abstract
A Daugavet-point (resp.~-point) of a Banach space is a norm one element for which every point in the unit ball (resp.~element itself) is in the closed convex hull of unit ball elements that are almost at distance 2 from . A Banach space has the well-known Daugavet property (resp.~diametral local diameter 2 property) if and only if every norm one element is a Daugavet-point (resp.~-point). This paper complements the article "Delta- and Daugavet-points in Banach spaces" by T. A. Abrahamsen, R. Haller, V. Lima, and K. Pirk, where the study of the existence of Daugavet- and -points in absolute sums of Banach spaces was started.
Keywords
Cite
@article{arxiv.2001.06197,
title = {Daugavet- and Delta-points in absolute sums of Banach spaces},
author = {Rainis Haller and Katriin Pirk and Triinu Veeorg},
journal= {arXiv preprint arXiv:2001.06197},
year = {2020}
}