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Feb 10, 2014 at 6:14 comment added Anthony Quas Sorry. I don't know. What I would do, though is if you have access to MathSciNet, you can search for papers citing the paper I mentioned. This is somewhat limited because MSN only started tracking citations sometime after 2000, but there's a reasonable chance you'd find anything that had done something.
Feb 10, 2014 at 3:29 comment added Ben Golub thanks so much, this is very helpful. Do you happen to know whether there has been any progress on the question of L^2 convergence when there are only finitely many conditioning sigma-algebras? It's described as an open question in the introduction of the paper you cite.
Feb 9, 2014 at 23:18 history answered Anthony Quas CC BY-SA 3.0