Quaestiones Mathematicae · 1998 · 10 citations · 3 references
Natural SciencesMathematicsProbability TheoryRepresentation TheoryStochastic ProcessesMeasure-theoretic ProbabilityProbability SpacesMeasurable Spaces
Abstract We show that the normed space of μ-measurable Pettis integrable functions on a probability space with values in a Banach space X contains a copy of the sequence space c0 if and only if X contains a copy of c0. In this case, if the probability μ has infinite range, a copy of c0 consisting of μ-measurable functions can be found, such that it is complemented in the bigger space of all weakly μ-measurable Pettis integrable functions.
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