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 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 …

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 …

In this article, we study the Daugavet property and the diametral diameter two properties
(DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ-points …

We prove that there exists an equivalent norm· on L∞[0, 1] with the following properties: The
unit ball of (L∞[0, 1],·) contains non-empty relatively weakly open subsets of arbitrarily small …

In this article, we study the ccs-Daugavet, ccs-$\Delta $, super-Daugavet, super-$\Delta $,
Daugavet, $\Delta $, and $\nabla $ points in the unit balls of vector-valued function spaces …