用随机测度刻画L_p空间的度量紧化
泛函分析
2022-06-01 v2 度量几何
概率论
摘要
我们给出了时空间度量紧化的完整刻画。度量紧化中的每个元素由某Polish空间上的随机测度表示。作为示例，我们重访了时的均值遍历定理，以及Alspach关于弱紧凸子集上无不动点的等距映射的例子。
引用
@article{arxiv.1903.02502,
title = {Characterizing the metric compactification of $L_{p}$ spaces by random measures},
author = {Armando W. Gutiérrez},
journal= {arXiv preprint arXiv:1903.02502},
year = {2022}
}
备注
Minor corrections. Title was modified. Main results and their proofs remain unchanged. To appear in Annals of Functional Analysis