Separable ranges of Henstock-Kurzweil-Pettis integral
Abstract
In this article, we introduce Pettis integrability type property for HKP-integrals. We discuss several necessary conditions that $X$ has HKP-integrability property for weak Baire measure. Necessary and sufficient conditions of the indefinite integral of any Henstock-Kurzweil-Pettis
(respectively, Denjoy-Pettis) integrable function with values in a fixed Banach space having separable ranges are discussed.
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References
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