A minimal P-complete extension of the sigma-algebra makes L^∞(P) the dual of the space of signed measures absolutely continuous w.r.t. at least one member of P.
Function spaces and capacity related to a sub- linear expectation: Application to G-Brownian motion paths.Potential Analysis, 34(2):139– 161
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Can the $L^1$-$L^\infty$ duality be restored for non-dominated families of probability measures?
A minimal P-complete extension of the sigma-algebra makes L^∞(P) the dual of the space of signed measures absolutely continuous w.r.t. at least one member of P.