Characterizing the metric compactification of Lp spaces by random measures
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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17
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Annals of Functional Analysis, Volume 11, issue 2, pp. 227-243
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
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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