Geodesic
On the Metric Compactification of Infinite-dimensional $\ell _{p}$ Spaces
Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 491-507

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DOI

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 generalization of the metric compactification that can be applied to infinite-dimensional Banach spaces. Thereafter we give a complete description of the metric compactification of infinite-dimensional $\ell _{p}$ spaces for all $1\leqslant p<\infty$. We also give a full characterization of the metric compactification of infinite-dimensional Hilbert spaces.
DOI : 10.4153/S0008439518000681
Mots-clés : metric compactification, horofunction compactification, metric functional, Banach space 
Gutiérrez, Armando W. On the Metric Compactification of Infinite-dimensional $\ell _{p}$ Spaces. Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 491-507. doi: 10.4153/S0008439518000681
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     author = {Guti\'errez, Armando W.},
     title = {On the {Metric} {Compactification} of {Infinite-dimensional} $\ell _{p}$ {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {491--507},
     year = {2019},
     volume = {62},
     number = {3},
     doi = {10.4153/S0008439518000681},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439518000681/}
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