In this article, we study the diameter two properties (D2Ps), the diametral diameter two
properties (diametral D2Ps), and the Daugavet property in Orlicz-Lorentz spaces equipped …

We study Daugavet-and Δ-points in Banach spaces. A norm one element x is a Daugavet-
point (respectively, a Δ-point) if in every slice of the unit ball (respectively, in every slice of …

We show that the Lipschitz‐free space with the Radon–Nikodým property and a Daugavet
point recently constructed by Veeorg is in fact a dual space isomorphic to ℓ 1 ℓ_1 …

Abstract A norm $1 $ element $ x $ of a Banach space is a Daugavet point (respectively, a
$\Delta $-point) if every slice of the unit ball (respectively, every slice of the unit ball …

We prove that the space ℓ 2–and more generally every infinite dimensional Banach space
with an unconditional Schauder basis–can be renormed to have a Daugavet point. As a …

We introduce extensions of $\Delta $-points and Daugavet points in which slices are
replaced by relative weakly open subsets (super $\Delta $-points and super Daugavet …

A norm one element $ x $ of a Banach space is a Daugavet-point (respectively,~ a $\Delta $-
point) if every slice of the unit ball (respectively,~ every slice of the unit ball containing $ x $) …

We introduce two new notions called the Daugavet constant and $\Delta $-constant of a
point, which measure quantitatively how far the point is from being Daugavet point and …

We introduce relative versions of Daugavet-points and the Daugavet property, where the
Daugavet-behavior is localized inside of some supporting slice. These points present …

We solve some open problems regarding diameter two properties within the class of Banach
spaces of real-valued Lipschitz functions by using de Leeuw's transform. Namely, we show …