A. Jiménez-Vargas

3 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2014★ 3 cited

Lipschitz tensor product

M. G. Cabrera-Padilla, J. A. Chávez-Domínguez, A. Jiménez-Vargas +1

Inspired by ideas of R. Schatten in his celebrated monograph on a theory of cross-spaces, we introduce the notion of a Lipschitz tensor product X\boxtimes E of a pointed metric spa…

math.FA2014

Biduality and density in Lipschitz function spaces

A. Jiménez-Vargas, J. M. Sepulcre, Moisés Villegas-Vallecillos

For pointed compact metric spaces $(X, d)$ , we address the biduality problem as to when the space of Lipschitz functions $Lip_{0} (X, d)$ is isometrically isomorphic to the bid…

math.FA2014

The approximation property for spaces of Lipschitz functions

Antonio Jiménez Vargas

Let $Lip_{0} (X)$ be the space of all Lipschitz scalar-valued functions on a pointed metric space $X$ . We characterize the approximation property for $Lip_{0} (X)$ with…

math.FA2014

Weakly compact composition operators on spaces of Lipschitz functions

A. Jiménez-Vargas

Let $X$ be a pointed compact metric space. Assuming that $lip_{0} (X)$ has the uniform separation property, we prove that every weakly compact composition operator on spaces…