Characterizing the metric compactification of Lp spaces by random measures
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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Author
Date
2020-04
Major/Subject
Mcode
Degree programme
Language
en
Pages
17
Series
Annals of Functional Analysis, articlenumber AFA-D-19-00059
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.Description
Keywords
Mathematics - Functional Analysis, Mathematics - Metric Geometry, Mathematics - Probability, 54D35, 46E30, 60G57
Other note
Citation
Gutiérrez, A W 2020, ' Characterizing the metric compactification of Lp spaces by random measures ', Annals of Functional Analysis, vol. 11, no. 2, AFA-D-19-00059, pp. 227-243 . https://doi.org/10.1007/s43034-019-00024-1
