This is an announcement for the paper "The McShane integral in weakly compactly generated spaces" by Antonio Aviles, Grzegorz Plebanek, and Jose Rodriguez.

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.

Archive classification: math.FA math.PR

Mathematics Subject Classification: 28B05; 46B10; 46B26

The source file(s), McShaneWCGFinal.tex: 53304 bytes, is(are) stored in gzipped form as 1001.4896.gz with size 16kb. The corresponding postcript file has gzipped size 84kb.

Submitted from: avileslo@um.es

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