Characterizing the metric compactification of Lp spaces by random measures

Armando W. Gutiérrez

doi:10.1007/s43034-019-00024-1

Characterizing the metric compactification of Lp spaces by random measures

Armando W. Gutiérrez

Research output: Contribution to journal › Article › Scientific › peer-review

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Abstract

We present a complete characterization of the metric compactification of Lp spaces for 1≤p<∞. Each element of the metric compactification of Lp is represented by a random measure on a certain Polish space. By way of illustration, we revisit the Lp-mean ergodic theorem for 1<p<∞, and Alspach’s example of an isometry on a weakly compact convex subset of L1 with no fixed points.

Original language	English
Article number	AFA-D-19-00059
Pages (from-to)	227-243
Number of pages	17
Journal	Annals of Functional Analysis
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/s43034-019-00024-1
Publication status	Published - Apr 2020
MoE publication type	A1 Journal article-refereed

Keywords

Mathematics - Functional Analysis
Mathematics - Metric Geometry
Mathematics - Probability
54D35
46E30
60G57

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Cite this

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KW - Mathematics - Metric Geometry

KW - Mathematics - Probability

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Characterizing the metric compactification of Lp spaces by random measures

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