Subinvariant Metric Functionals for Nonexpansive Mappings
We investigate the existence of subinvariant metric functionals for commuting families of nonexpansive mappings in noncompact subsets of Banach spaces. Our findings underscore the …
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 …
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 …