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A NEGATIVE ANSWER TO A PROBLEM OF FREMLIN AND MENDOZA

A NEGATIVE ANSWER TO A PROBLEM OF FREMLIN AND MENDOZA
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摘要 This article studies some convergence results for the McShane integral of functions mapping the interval [0, 1] into a Banach space X from the point of view of an open problem proposed by D.H.Fremlin and J. Mendoza in [2], also the authors give a negative answer to this open problem. This article studies some convergence results for the McShane integral of functions mapping the interval [0, 1] into a Banach space X from the point of view of an open problem proposed by D.H.Fremlin and J. Mendoza in [2], also the authors give a negative answer to this open problem.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2007年第4期813-820,共8页 数学物理学报(B辑英文版)
基金 Supported by NNSF of China(10571085) Science Foundation of Hohai University and grant No.201/04/0690 of the GA of the Czech Republic
关键词 Abstract function Pettis integral McShane integral Abstract function, Pettis integral, McShane integral
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