Abstract
AbstractWe present a complete characterization of the metric compactification of $$L_{p}$$Lp spaces for $$1\le p < \infty $$1≤p<∞. Each element of the metric compactification of $$L_{p}$$Lp is represented by a random measure on a certain Polish space. By way of illustration, we revisit the $$L_{p}$$Lp-mean ergodic theorem for $$1< p < \infty $$1<p<∞, and Alspach’s example of an isometry on a weakly compact convex subset of $$L_{1}$$L1 with no fixed points.
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Analysis,Algebra and Number Theory
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