Weak topologies for modules over rings of bounded random variables

DOI10.1016/j.jmaa.2014.07.062zbMath1308.46058OpenAlexW1965087118MaRDI QIDQ743200

Sonia Taieb, Karl-Theodor Eisele

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.062

zbMATH Keywords

Hahn-Banach theoremrandom variablesAlaoglu-Bourbaki theorem\(\lambda\)-moduleslocally convex modules over \(L^\infty(G)\)

Mathematics Subject Classification ID

Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

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Convex functions on topological modules ⋮ Stability in locally \(L^{0}\)-convex modules and a conditional version of James' compactness theorem ⋮ Topological ordered rings and measures ⋮ Randomized versions of Mazur lemma and Krein-Smulian theorem ⋮ On a generalized uniform zero-two law for positive contractions of noncommutative \(L_1\)-spaces and its vector-valued extension ⋮ The algebra of conditional sets and the concepts of conditional topology and compactness ⋮ Булевозначный подход к анализу условного риска ⋮ Normalizing rings

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