Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 28B05
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