Abstract of a paper by Antonio Aviles, Grzegorz Plebanek, and Jose Rodriguez
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.4896 or http://arXiv.org/abs/1001.4896 or by email in unzipped form by transmitting an empty message with subject line uget 1001.4896 or in gzipped form by using subject line get 1001.4896 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu