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Banach lattices of Lebesgue-Bochner function spaces and conditional expectation operators. I. (English) Zbl 0307.46025


MSC:

46E40 Spaces of vector- and operator-valued functions
46A40 Ordered topological linear spaces, vector lattices
47B60 Linear operators on ordered spaces
60B99 Probability theory on algebraic and topological structures
28B05 Vector-valued set functions, measures and integrals