Metric Compactification

Characterizing the metric compactification of \(L_p\) spaces by random measures

We present a complete characterization of the metric compactification of \(L_p\) spaces for \(1\leq p < \infty\). Each element of the metric compactification of \(L_p\) is …

avatar
Armando W. Gutiérrez
On the Metric Compactification of Infinite Dimensional \(\ell_p\) Spaces featured image

On the Metric Compactification of Infinite Dimensional \(\ell_p\) Spaces

The notion of metric compactification was introduced by Gromov and later rediscovered by Rieffel. It has been mainly studied on proper geodesic metric spaces. We present here a …

avatar
Armando W. Gutiérrez