Title of article
The McShane integral in weakly compactly generated spaces ✩
Author/Authors
M. A. Avilés، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
17
From page
2776
To page
2792
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. Moreover, we give a counterexample where the target Banach space is reflexive.
© 2010 Elsevier Inc. All rights reserved.
Keywords
Scalarly null function , Filling family , McShane integral , Pettis integral
Journal title
Journal of Functional Analysis
Serial Year
2010
Journal title
Journal of Functional Analysis
Record number
840316
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