Výsledky vyhledávání - "Jiménez-Vargas Antonio"

Akademický článek

(p, q)-Compactness in spaces of holomorphic mappings

Autor: Jiménez-Vargas Antonio, Ruiz-Casternado David

Publikováno v: Open Mathematics, Vol 22, Iss 1, Pp 17-33 (2024)

Based on the concept of (p,q)\left(p,q)-compact operator for p∈[1,∞]p\in \left[1,\infty ] and q∈[1,p*]q\in \left[1,{p}^{* }], we introduce and study the notion of (p,q)\left(p,q)-compact holomorphic mapping between Banach spaces. We prove that

Externí odkaz: https://doaj.org/article/fc6e2f6596e44f1388aa251f9dcecda5

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The Mazur-Ulam property for the space of complex null sequences

Autor: Jiménez-Vargas, Antonio, Campoy, Antonio Morales, Peralta, Antonio M., Ramírez, María Isabel

Given an infinite set $\Gamma$, we prove that the space of complex null sequences $c_0(\Gamma)$ satisfies the Mazur-Ulam property, that is, for each Banach space $X$, every surjective isometry from the unit sphere of $c_0(\Gamma)$ onto the unit spher

Externí odkaz: http://arxiv.org/abs/1708.08538

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2-local standard isometries on vector-valued Lipschitz function spaces

Autor: Jiménez-Vargas, Antonio, Li, Lei, Peralta, Antonio M., Wang, Liguang, Wang, Ya-Shu

Under the right conditions on a compact metric space $X$ and on a Banach space $E$, we give a description of the $2$-local (standard) isometries on the Banach space $\hbox{Lip}(X,E)$ of vector-valued Lipschitz functions from $X$ to $E$ in terms of a

Externí odkaz: http://arxiv.org/abs/1708.02897

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