On the Metric Compactification of Infinite-dimensional lp Spaces
On the Metric Compactification of Infinite-dimensional lp Spaces
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DOI：
10.4153/s0008439518000681
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发表时间：
2019-09-01
影响因子：
0.6
通讯作者：
Gutierrez, Armando W.
中科院分区：
文献类型：
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作者：
Gutierrez, Armando W.
度量紧化的概念是由Gromov提出的，后来由Rieffel重新发现。它主要是在真测地度量空间上研究的。我们在这里提出了一个推广的度量紧化，可以应用到无限维Banach空间。此后，我们给出了无限维l（p）空间的度量紧化的完整描述，
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 l(p) spaces for all 1