Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Quilis, Andrés"'
Autor:
Medina, Rubén, Quilis, Andrés
We construct a Banach space satisfying that the nearest point map (also called proximity mapping or metric projection) onto any compact and convex subset is continuous but not uniformly continuous. The space we construct is locally uniformly convex,
Externí odkaz:
http://arxiv.org/abs/2402.04747
Autor:
Quilis, Andrés, Zoca, Abraham Rueda
We introduce the notion of (almost isometric) local retracts in metric space as a natural non-linear version of the concepts of locally complemented and almost isometric ideals from Banach spaces. We prove that given two metric spaces $N\subseteq M$
Externí odkaz:
http://arxiv.org/abs/2311.13289
Autor:
Cobollo, Christian, Isert, Daniel, López-Pérez, Ginés, Martín, Miguel, Perreau, Yoël, Quero, Alicia, Quilis, Andrés, Rodríguez-Vidanes, Daniel L., Zoca, Abraham Rueda
We prove that there exists an equivalent norm $\Vert\vert\cdot\vert\Vert$ on $L_\infty[0,1]$ with the following properties: (1) The unit ball of $(L_\infty[0,1],\Vert\vert\cdot\vert\Vert)$ contains non-empty relatively weakly open subsets of arbitrar
Externí odkaz:
http://arxiv.org/abs/2309.03610
We study projectional skeletons and the Plichko property in Lipschitz-free spaces, relating these concepts to the geometry of the underlying metric space. Specifically, we identify a metric property that characterizes the Plichko property witnessed b
Externí odkaz:
http://arxiv.org/abs/2305.08543
Autor:
Hájek, Petr, Quilis, Andrés
We study several classical concepts in the topic of strict convexity of norms in infinite dimensional Banach spaces. Specifically, and in descending order of strength, we deal with Uniform Rotundity (UR), Weak Uniform Rotundity (WUR) and Uniform Rotu
Externí odkaz:
http://arxiv.org/abs/2302.11041
Autor:
Quilis, Andrés
We develop tools to produce equivalent norms with specific local geometry around infinitely many points in the sphere of a Banach space via an inductive procedure. We combine this process with smoothness results and techniques to solve two open probl
Externí odkaz:
http://arxiv.org/abs/2211.12332
In this paper, we provide an infinite metric space $M$ such that the set $\mbox{SNA}(M)$ of strongly norm-attaining Lipschitz functions does not contain a subspace which is isometric to $c_0$. This answers a question posed by Antonio Avil\'es, Gonzal
Externí odkaz:
http://arxiv.org/abs/2208.02916
Autor:
Hájek, Petr, Quilis, Andrés
We construct a complete metric space $M$ of cardinality continuum such that every non-singleton closed separable subset of $M$ fails to be a Lipschitz retract of $M$. This provides a metric analogue to the various classical and recent examples of Ban
Externí odkaz:
http://arxiv.org/abs/2206.10279
Autor:
Hájek, Petr, Quilis, Andrés
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2024 538(2)
Autor:
Quilis, Andrés, Rueda Zoca, Abraham
Publikováno v:
In Journal of Functional Analysis 1 December 2024 287(11)