| A NEGATIVE ANSWER TO A PROBLEM OF FREMLIN AND MENDOZA |
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| 作者姓名： | 叶国菊 Stefan Schwabik |
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| 作者单位： | [1]College of Science, Hohai University, Nanjing, 210098, China [2]Matematicky Ustav AV CR, Zitna 25, 115 67 Praha 1, Czech Republic |
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| 基金项目： | 国家自然科学基金，河海大学科研基金 |
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| 摘 要： | This article studies some convergence results for the McShane integral of func- tions mapping the interval0,1]into a Banach space X from the point of view of an open problem propose by D.H.Fremlin and J.Mendoza in2].also the anthors give a negative answer to this open problem.
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| 关 键 词： | 抽象函数 Pettis积分 McShane积分 Lebesgue积分 |
| 收稿时间： | 6 August 2005. |
| 修稿时间： | 2005-08-06 |
A negative answer to a problem of Fremlin and Mendoza |
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| Ye Guoju,Stefan Schwabik,.A NEGATIVE ANSWER TO A PROBLEM OF FREMLIN AND MENDOZA[J].Acta Mathematica Scientia,2007,27(4):813-820. |
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| Authors: | Ye Guoju Stefan Schwabik |
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| Institution: | College of Science, Hohai University, Nanjing, 210098, China ;Matematicky Ustav AV CR, Zitna 25, 115 67 Praha 1, Czech Republic |
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| Abstract: | 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 anthors give a negative answer to this open problem. |
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| Keywords: | Abstract function Pettis integral McShane integral |
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