数学物理学报(英文版)

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A NEGATIVE ANSWER TO A PROBLEM OF FREMLIN AND MENDOZA

叶国菊; Stefan Schwabik   

  1. 河海大学理学院, 南京 210098
  • 收稿日期:2005-08-06 修回日期:1900-01-01 出版日期:2007-10-20 发布日期:2007-10-20
  • 通讯作者: 叶国菊
  • 基金资助:

    Supported by NNSF of China (10571085), Science Foundation of Hohai University and grant No. 201/04/0690 of the GA of the Czech Republic

A NEGATIVE ANSWER TO A PROBLEM OF FREMLIN AND MENDOZA

Ye Guoju; Stefan Schwabik   

  1. College of Science, Hohai University, Nanjing, 210098, China
  • Received:2005-08-06 Revised:1900-01-01 Online:2007-10-20 Published:2007-10-20
  • Contact: Ye Guoju

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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 anthors give a negative answer to this open problem.

关键词: Abstract function, Pettis integral, McShane integral

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.

Key words: Abstract function, Pettis integral, McShane integral

中图分类号: 

  • 28B05
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