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On functions that are universally Pettis integrable

On functions that are universally Pettis integrable

IntroductionIt is very important to recognize when a scalarly measurable function f from a probability space (f], E, X) to a Banach space is Pettis integrable.A number of authors studied the above problem and related questions about the Pettis integral [2], [4]-[13], [16]-[20].In this paper we are going to study …