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A note on almost strong liftings

C. Ionescu-TulceaR. Maher — 1971

Annales de l'institut Fourier

Let X be a locally compact space. A lifting ρ of M R ( X , μ ) where μ is a positive measure on X , is almost strong if for each bounded, continuous function f , ρ ( f ) and f coincide locally almost everywhere. We prove here that the set of all measures μ on X such that there exists an almost strong lifting of M R ( X , | μ | ) is a band.

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