On the Metric Compactification of Infinite-dimensional Spaces
2018 ◽
Vol 62
(3)
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pp. 491-507
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Keyword(s):
AbstractThe 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.
Keyword(s):
2005 ◽
Vol 72
(3)
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pp. 423-440
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2006 ◽
Vol 58
(4)
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pp. 820-842
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Keyword(s):
2011 ◽
Vol 63
(3)
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pp. 533-550
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Keyword(s):
2019 ◽
Vol 62
(4)
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pp. 1173-1187
1989 ◽
Vol 12
(1)
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pp. 175-191
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1985 ◽
Vol 52
(3)
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pp. 251-265
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