Compact convex sets free of inner points in infinite‐dimensional topological vector spaces
Mathematische Nachrichten, Volume 297, Issue 5, Page 1668-1677, May 2024.Abstract An inner point of a non‐singleton convex set M$M$ is a point x∈M$x\in M$ satisfying that for all m∈M∖{x}$m\in M\setminus \lbrace x\rbrace$ there exists n∈M∖{m,x}$n\in M\setminus \lbrace m,x\rbrace$ such that x∈(m,n)$x\in (m,n)$. We prove the existence of convex compact subsets free of inner points in the infinite‐dimensional setting. Following
Almudena Campos‐Jiménez +1 more
wiley +1 more source
Delta‐points and their implications for the geometry of Banach spaces
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract 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 ℓ1$\ell _1$. Furthermore, we answer an open problem from the literature by showing that there exists a superreflexive space, in the form of a renorming of ℓ2$\ell _2$, with a Δ$\Delta ...
Trond A. Abrahamsen +6 more
wiley +1 more source
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]
Rev Mat Complut, 2023 Comi GE, Stefani G.
europepmc +1 more source
Sesquilinear quantum stochastic analysis in Banach space [PDF]
, 2014 A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps.
Lindsay, Martin +2 more
core +3 more sources
Numerical Analysis and Comparison of Three Iterative Methods Based on Finite Element for the 2D/3D Stationary Micropolar Fluid Equations. [PDF]
Entropy (Basel), 2022 Xing X, Liu D.
europepmc +1 more source
Covering Convex Bodies and the Closest Vector Problem. [PDF]
Discrete Comput Geom, 2022 Naszódi M, Venzin M.
europepmc +1 more source
Geometry of Banach spaces with property β
, 1999 The authors wish to thank S. Troyanski for valuable discussions. Also, they are very grateful to the referee for many helpful suggestions and, in particular, for observing the validity of Proposition 3.2.We prove that every Banach space can be ...
Moreno, José Pedro +2 more
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Unit balls of Polyhedral Banach spaces with many extreme points
, 2023 Let $E$ be a $(\mathrm{IV})$-polyhedral Banach space. We show that, for each $\epsilon>0$, $E$ admits an $\epsilon$-equivalent $\mathrm{(V)}$-polyhedral norm such that the corresponding closed unit ball is the closed convex hull of its extreme points ...
De Bernardi, Carlo Alberto
core
Hypoxis hemerocallidea alters metabolic parameters and hepatic histomorphology in streptozotocin-nicotinamide-induced diabetic male rats under antiretroviral therapy. [PDF]
Arch Med Sci, 2020 Onanuga IO +6 more
europepmc +1 more source