Universidad de La Rioja · wovepaper

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19952026

most citedThe Gaia mission

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18 papers · 1 filter

math.FA2024★ 1 cited

Unconditional basic sequences in function spaces with applications to Orlicz spaces

José L. Ansorena, Glenier Bello

We find conditions on a function space $L$ that ensure that it behaves as an $L_{p}$ -space in the sense that any unconditional basis of a complemented subspace of $L$ eithe…

math.FA2020★ 1 cited

Lipschitz algebras and Lipschitz-free spaces over unbounded metric spaces

Fernando Albiac, Jose L. Ansorena, Marek Cuth +1

We present a way to turn an arbitrary (unbounded) metric space $M$ into a bounded metric space $B$ in such a way that the corresponding Lipschitz-free spaces $\…

math.FA2020★ 26 cited

Lipschitz free spaces isomorphic to their infinite sums and geometric applications

Fernando Albiac, Jose L. Ansorena, Marek Cuth +1

We find general conditions under which Lipschitz-free spaces over metric spaces are isomorphic to their infinite direct $ℓ_{1}$ -sum and exhibit several applications. As examples o…

math.FA2020★ 3 cited

Structure of the Lipschitz free $p$ -spaces $F_{p} (Z^{d})$ and $F_{p} (R^{d})$ for $0 < p \leq 1$

Fernando Albiac, Jose L. Ansorena, Marek Cuth +1

Our aim in this article is to contribute to the theory of Lipschitz free $p$ -spaces for $0 < p \leq 1$ over the Euclidean spaces $R^{d}$ and $Z^{d}$ . To that end, on one…

math.FA2019★ 11 cited

Embeddability of $ℓ_{p}$ and bases in Lipschitz free $p$ -spaces for $0 < p \leq 1$

Fernando Albiac, Jose L. Ansorena, Marek Cuth +1

Our goal in this paper is to continue the study initiated by the authors in [Lipschitz free $p$ -spaces for $0 < p < 1$ ; arXiv:1811.01265 [math.FA]] of the geometry of the Lipschitz fre…

math.FA2018★ 16 cited

Lipschitz free $p$ -spaces for $0 < p < 1$

Fernando Albiac, Jose L. Ansorena, Marek Cuth +1

This paper initiates the study of the structure of a new class of $p$ -Banach spaces, $0 < p < 1$ , namely the Lipschitz free $p$ -spaces (alternatively called Arens-Eells $p$ -spaces) $\m…