P. Kaufmann

collaborators

3 papers

math.MG2021

On the Vapnik-Chervonenkis dimension of products of intervals in $R^{d}$

Alirio Gómez Gómez, Pedro L. Kaufmann

We study combinatorial complexity of certain classes of products of intervals in $R^{d}$ , from the point of view of Vapnik-Chervonenkis geometry. As a consequence of the obt…

math.FA2020

On the geometry of Banach spaces of the form $Lip_{0} (C (K))$

Leandro Candido, Pedro L. Kaufmann

We investigate the problem of classifying the Banach spaces $Lip_{0} (C (K))$ for Hausdorff compacta $K$ . In particular, sufficient conditions are established for a space $\ma…

math.FA2020

On Lipschitz-free spaces over spheres of Banach spaces

Leandro Candido, Pedro Levit Kaufmann

We prove that, for each Banach space $X$ which is isomorphic to its hyperplanes, the Lipschitz-free spaces over $X$ and over its sphere are isomorphic.

On the Vapnik-Chervonenkis dimension of products of intervals in Rd

On the geometry of Banach spaces of the form Lip0​(C(K))

On Lipschitz-free spaces over spheres of Banach spaces

On the Vapnik-Chervonenkis dimension of products of intervals in $R^{d}$

On the geometry of Banach spaces of the form $Lip_{0} (C (K))$