On local convexity in \(\mathbb{L}^0\) and switching probability measures

DOI10.1007/S11117-022-00943-9OpenAlexW4313649463MaRDI QIDQ2679273

Foivos Xanthos, Niushan Gao, Denny H. Leung

Publication date: 19 January 2023

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.00992

zbMATH Keywords

convergence in probabilitylocally convexuniformly integrableequivalent probability measuresmeasure-freeuniformly locally convex-solid

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Applications of functional analysis in probability theory and statistics (46N30)

Cites Work

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• A simple characterization of tightness for convex solid sets of positive random variables
• A local Hahn-Banach theorem and its applications
• Uniform integrability and local convexity in \(\mathbb L^0\)
• Dual representation of monotone convex functions on 𝐿⁰
• Forward-convex convergence in probability of sequences of nonnegative random variables
• A generalization of a problem of Steinhaus
• An unpleasant set in a non-locally-convex vector lattice

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