The McShane integral in weakly compactly generated spaces

Details The McShane integral in weakly compactly generated spaces The McShane integral in weakly compactly generated spaces

2010-01-27

arxiv.org/abs/1001.4896v2

Mathematics

Functional Analysis

Revised version. To appear in Journal of Functional Analysis

Scientific paper

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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