Convergence of nonmonotone sequences of sub-\(\sigma\)-fields and convergence of associated subspaces \(L^p(\mathcal B_n)\) (\(p\in[1,+\infty]\))

DOI10.1006/JMAA.1998.6007zbMath0916.60040OpenAlexW2001356606MaRDI QIDQ1270922

Laurent Piccinini

Publication date: 12 July 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6007

zbMATH Keywords

Mosco convergenceconditional expectationmeasurabilityconvergence of sub-\(\sigma\)-fieldsSlice convergence

Mathematics Subject Classification ID

Limit theorems in probability theory (60F99)

Related Items (1)

A couple of remarks on the convergence of \(\sigma\)-fields on probability spaces

Cites Work

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• A note on the strong convergence of \(\sigma\)-algebras
• Sensors and Information in Optimization Under Stochastic Uncertainty
• Sensitivity to σ-fields of information in stochastic allocation>
• Convergence of closed convex sets and ?-fields
• Mosco Convergence and Reflexivity
• Ensembles compacts de tribus

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