A metric space associated with a probability space

DOI10.1155/S0161171293000328zbMath0770.28001OpenAlexW2070068780MaRDI QIDQ1210452

Xikui Wang, Keith F. Taylor

Publication date: 8 August 1993

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/46836

zbMATH Keywords

metric spaceconditional expectations\(\sigma\)-algebrascomplete probability spaceChristensen's metriccomplete sub-\(\sigma\)-algebrasType \(\text{II}_ 1\)-factorvon Neumann subalgebras

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) General theory of von Neumann algebras (46L10)

Related Items (1)

Filtrations for which all \({\mathcal H}^2\) martingales are of integrable variation; distances between \(\sigma\)-algebras

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