Results 51 to 60 of about 3,117,111 (256)
Extremal structure in ultrapowers of Banach spaces [PDF]
arXiv, 2021 Given a bounded convex subset $C$ of a Banach space $X$ and a free ultrafilter $\mathcal U$, we study which points $(x_i)_\mathcal U$ are extreme points of the ultrapower $C_\mathcal U$ in $X_\mathcal U$. In general, we obtain that when $\{x_i\}$ is made of extreme points (respectively denting points, strongly exposed points) and they satisfy some kind
arxiv
The core of the unit sphere of a Banach space
AIMS MathematicsA geometric invariant or preserver is essentially a geometric property of the unit sphere of a real Banach space that remains invariant under the action of a surjective isometry onto the unit sphere of another real Banach space. A new geometric invariant
Almudena Campos-Jiménez +1 more
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Dynamics of doubly stochastic quadratic operators on a finite-dimensional simplex
Open Mathematics, 2016 The present paper focuses on the dynamics of doubly stochastic quadratic operators (d.s.q.o) on a finite-dimensional simplex. We prove that if a d.s.q.o. has no periodic points then the trajectory of any initial point inside the simplex is convergent. We
Abdulghafor Rawad +3 more
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Extremal dichotomy for uniformly hyperbolic systems [PDF]
, 2015 We consider the extreme value theory of a hyperbolic toral automorphism $T: \mathbb{T}^2 \to \mathbb{T}^2$ showing that if a H\"older observation $\phi$ which is a function of a Euclidean-type distance to a non-periodic point $\zeta$ is strictly ...
Carvalho, Maria +4 more
core +2 more sources
Continuity at the extreme points
Journal of Mathematical Analysis and Applications, 2009 AbstractWe prove that a bounded convex lower semicontinuous function defined on a convex compact set K is continuous at a dense subset of extreme points. If there is a bounded strictly convex lower semicontinuous function on K, then the set of extreme points contains a dense completely metrizable subset.
openaire +2 more sources
Secure Degrees of Freedom Regions of Multiple Access and Interference Channels: The Polytope Structure [PDF]
, 2014 The sum secure degrees of freedom (s.d.o.f.) of two fundamental multi-user network structures, the K-user Gaussian multiple access (MAC) wiretap channel and the K-user interference channel (IC) with secrecy constraints, have been determined recently as K(
Ulukus, Sennur, Xie, Jianwei
core +2 more sources
Manipulation of extreme events on scale-free networks [PDF]
Phys. Rev. E 88, 014801 (2013), 2013 Extreme events taking place on networks are not uncommon. We show that it is possible to manipulate the extreme events occurrence probabilities and its distribution over the nodes on scale-free networks by tuning the nodal capacity. This can be used to reduce the number of extreme events occurrences on a network.
arxiv +1 more source
Proceedings of the American Mathematical Society, 2000 Each weak* compact C*-convex set in a hyperfinite factor (in particular in B(H)) is the weak* closure of the C*-convex hull of its C*-extreme points.
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The Long Evolution of Extreme Right Music in Italy and Germany
Partecipazione e Conflitto, 2020 The importance of music in extreme right political culture is acknowledged in recent academic and non-academic contributions in Italy and Germany. Patterns of music development in different European contexts reflect the prevailing ideological dimension ...
Giorgia Bulli
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The extreme points of $\Sigma $ [PDF]
Proceedings of the American Mathematical Society, 1982 For any compact set in C, with complement nl which contains oo and is connected the class E consists of functions g(z) = z + b z-1 + * * that are univalent in 0. We prove that g E E is an extreme point of E if and only if C g(S2) has zero area. Introduction.
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