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Listar por palabra clave "Extreme point"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por palabra clave "Extreme point"

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    A note on extreme points of $C^\infty$-smooth balls in polyhedral spaces 
    Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (American Mathematical Society, 2015)
    [EN] Morris (1983) proved that every separable Banach space $X$ that contains an isomorphic copy of $c_0$ has an equivalent strictly convex norm such that all points of its unit sphere $S_X$ are unpreserved extreme, i.e., ...
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    Embeddings of Lipschitz-free spaces into l(1) 
    Aliaga, Ramón J.; Petitjean, Colin; Prochazka, Antonin (Elsevier, 2021-03-15)
    [EN] We show that, for a separable and complete metric space $M$, the Lipschitz-free space $\mathcal{F}(M)$ embeds linearly and almost-isometrically into $\ell_1$ if and only if $M$ is a subset of an $\mathbb{R}$-tree with ...
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    Extreme points and geometric aspects of compact convex sets in asymmetric normed spaces 
    Jonard-Perez, Natalia; Sánchez Pérez, Enrique Alfonso (Elsevier, 2016-04-15)
    [EN] The Krein-Milman theorem states that every compact convex subset in a locally compact convex space is the closure of the convex hull of its extreme points. Inspired by this result, we investigate the existence of ...
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    Extreme points in Lipschitz-free spaces over compact metric spaces 
    Aliaga, Ramón J. (Springer-Verlag, 2022-02)
    [EN] We prove that all extreme points of the unit ball of a Lipschitz-free space over a compact metric space have finite support. Combined with previous results, this completely characterizes extreme points and implies ...
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    Geometry and structure of Lipschitz-free spaces and their biduals 
    Aliaga Varea, Ramón José (Universitat Politècnica de València, 2021-01-17)
    [ES] Los espacios libres Lipschitz F(M) son linearizaciones canónicas de espacios métricos M cualesquiera. Más concretamente, F(M) es el único espacio de Banach que contiene una copia isométrica de M que es linearmente ...
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    Supports and extreme points in Lipschitz-free spaces 
    Aliaga, Ramón J.; Pernecka, Eva (European Mathematical Society Publishing House, 2020)
    [EN] For a complete metric space M, we prove that the finitely supported extreme points of the unit ball of the Lipschitz-free space F(M) are precisely the elementary molecules (¿(p)¿¿(q))/d(p,q) defined by pairs of points ...
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    Supports in Lipschitz-free spaces and applications to extremal structure 
    Aliaga, Ramón J.; Pernecká, Eva; Petitjean, Colin; Procházka, Antonín (Elsevier, 2020-09-01)
    [EN] We show that the class of Lipschitz-free spaces over closed subsets of any complete metric space M is closed under arbitrary intersections, improving upon the previously known finite-diameter case. This allows us to ...