… We show that asymptotically uniformly smooth spaces and reflexive … 3, we focus on
asymptotic smoothness. Our main result there is a condition on the modulus of asymptotic …

… of Δ $\Delta$ -points in Banach spaces and their duals. As an application, we obtain sharp
results about the influence of Δ $\Delta$ -points for the asymptotic geometry of Banach spaces…

… asymptotic geometry in Chapter 1. In particular we introduce the notions of asymptotic
smoothness and asymptotic … between asymptotically smooth spaces and weak∗ asymptotically …

… us to study Daugavet and $\Delta$-points in Banach spaces from a quantitative viewpoint. …
the existence of almost Daugavet and $\Delta$-points as well as the set of denting points of …

… Furthermore, we show that in some spaces of Lipschitz functions, there exist $\Delta$-points
that are not Daugavet-points. Lastly, we prove that every space of Lipschitz functions over …

… We provide a geometric condition that a space with the Radon–Nikodým property must
satisfy in order to be able to contain a relative Daugavet-point. We study relative Daugavet-points …

… spaces (asymptotic uniform smoothness and weak\(^*\) asymptotic uniform convexity [2, 5],
or existence of subsymmetric bases [6] as well as unconditional bases with small constants of …

We introduce extensions of $\Delta$-points and Daugavet points in which slices are … \Delta$-points
and super Daugavet points) or by convex combinations of slices (ccs $\Delta$-points …

… The study of the Daugavet property and its consequences to the geometry of Banach …
In order to apply that lemma for this setting, we need a geometric result for which we provide …

… on the moduli of asymptotic uniform smoothness and convexity, … We study the existence of
Daugavet- and delta-points in the … a subsymmetric basis can have delta-points. In contrast we …