@inproceedings { Gutman19910913, author = "Gutman A.E.", title = "Lifting in the space of measurable sections", booktitle = "XV All-USSR School on the theory of operators in function spaces (Nizhny Novgorod, September 13--20, 1991): Proceedings", address = "Nizhny Novgorod", year = "1991", pages = "63", language = "russian", annote = "It is shown that the space of classes of essentially bounded measurable functions acting into a Banach space $X$ admits a lifting if and only if the space $X$ is finitely-dimensional or the domain of definition is atomic. The minimal extension of a constant measurable Banach bundle is described which ensures existence of a lifting." }