A NEGATIVE ANSWER TO A PROBLEM OF FREMLIN AND MENDOZA

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.

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Bibliographic Details
Published inActa Mathematica Scientia Vol. 27; no. 4; pp. 813 - 820
Main Author 叶国菊 Stefan Schwabik
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2007
College of Science, Hohai University, Nanjing, 210098, China%Matematick(y) (U)stav AV (C)R, (Z)itná 25, 115 67 Praha 1, Czech Republic
Subjects
Abstract function
Lebesgue积分
McShane integral
McShane积分
Pettis integral
Pettis积分
抽象函数
Abstract function
McShane integral
Pettis integral
Online AccessGet full text
ISSN0252-9602
1572-9087
1003-3998
DOI10.1016/S0252-9602(07)60078-2

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Summary: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.
Bibliography:Abstract function, Pettis integral, McShane integral
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42-1227/O
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0252-9602
1572-9087
1003-3998
DOI:10.1016/S0252-9602(07)60078-2