Asymptotic geometry and Delta-points
TA Abrahamsen, V Lima, A Martiny… - Banach Journal of …, 2022 - Springer
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 …
point (respectively, a Δ-point) if in every slice of the unit ball (respectively, in every slice of …
Power type asymptotically uniformly smooth and asymptotically uniformly flat norms
RM Causey - Positivity, 2018 - Springer
We provide a short characterization of p-asymptotic uniform smoothability and asymptotic
uniform flatenability of operators and of Banach spaces. We use these characterizations to …
uniform flatenability of operators and of Banach spaces. We use these characterizations to …
On a few non-linear and isometric aspects of asymptotic geometry of Banach spaces
Y Perreau - 2022 - theses.hal.science
This thesis is devoted to the study of the geometry of Banach spaces. It is composed of three
main chapters that we will briefly describe in the present paragraph, and is directed towards …
main chapters that we will briefly describe in the present paragraph, and is directed towards …
[PDF][PDF] Asymptotic uniform smoothness in spaces of compact operators
LC Garcıa-Lirola - 2016 - personal.unizar.es
Let X, Y be Banach spaces and assume that X∗ and Y have monotone FDDs. If X is
uniformly convex and Y is uniformly smooth then K (X, Y) is AUS. Moreover, if X is uniformly …
uniformly convex and Y is uniformly smooth then K (X, Y) is AUS. Moreover, if X is uniformly …