A note on almost strong liftings
Annales de l'Institut Fourier, Volume 21 (1971) no. 2, p. 35-41
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.
Soit X un espace localement compact. Un relèvement ρ de M R (X,μ), où μ est une mesure positive sur X, est presque fort si pour toute fonction continue et bornée f, ρ(f) et f coïncident localement μ-presque partout. On démontre ici que l’ensemble des mesures μ sur X telles qu’il existe un relèvement presque fort de M R (X,|μ|), est une bande.
@article{AIF_1971__21_2_35_0,
     author = {Ionescu-Tulcea, C. and Maher, R.},
     title = {A note on almost strong liftings},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Durand},
     address = {28 - Luisant},
     volume = {21},
     number = {2},
     year = {1971},
     pages = {35-41},
     doi = {10.5802/aif.372},
     zbl = {0205.42201},
     mrnumber = {48 \#9393},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1971__21_2_35_0}
}
Ionescu-Tulcea, C.; Maher, R. A note on almost strong liftings. Annales de l'Institut Fourier, Volume 21 (1971) no. 2, pp. 35-41. doi : 10.5802/aif.372. http://www.numdam.org/item/AIF_1971__21_2_35_0/

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