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arXiv · 1001.4896

The McShane integral in weakly compactly generated spaces

Antonio Avilés·Grzegorz Plebanek·José Rodríguez
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Abstract

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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Antonio Avilés, Grzegorz Plebanek, José Rodríguez. 2010-08-22. The McShane integral in weakly compactly generated spaces. https://arxiv.org/abs/1001.4896

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