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arxiv: 1001.4896 · v2 · pith:PD7MAMS4new · submitted 2010-01-27 · 🧮 math.FA · math.PR

The McShane integral in weakly compactly generated spaces

classification 🧮 math.FA math.PR
keywords compactlygeneratedintegrablemcshaneweaklyansweraskedbanach
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Di Piazza and Preiss asked whether every Pettis integrable function defined on [0,1] and taking values in a weakly compactly generated Banach space is McShane integrable. In this paper we answer this question in the negative.

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