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On the metric compactification of infinite-dimensional Banach spaces. (arXiv:1802.04710v1 [math.FA])
来源于:arXiv
The notion of metric compactification was introduced by Gromov and later
rediscovered by Rieffel; and 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 $1\leq p < \infty$. We also give a full
characterization of the metric compactification of infinite-dimensional Hilbert
spaces. 查看全文>>