This is an announcement for the paper “Daugavet- and Delta-points in absolute sums of Banach spaces” by Rainis Hallerhttps://arxiv.org/search/math?searchtype=author&query=Haller%2C+R, Katriin Pirkhttps://arxiv.org/search/math?searchtype=author&query=Pirk%2C+K, Triinu Veeorghttps://arxiv.org/search/math?searchtype=author&query=Veeorg%2C+T.
Abstract: A Daugavet-point (resp.~$\Delta$-point) of a Banach space is a norm one element $x$ for which every point in the unit ball (resp.~element $x$ itself) is in the closed convex hull of unit ball elements that are almost at distance 2 from $x$. 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.~$\Delta$-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 $\Delta$-points in absolute sums of Banach spaces was started.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/2001.06197