Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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THE WEAK DENJOY* EXTENSION OF THE BOCHNER, DUNFORD, PETTIS AND MCSHANE INTEGRALS

  • Park, Chun-Kee (Department of Mathematics Kangwon National University) ;
  • Oh, Mee Na (Department of Mathematics Kangwon National University) ;
  • Kim, Woung Kyun (Department of Mathematics Kangwon National University)
  • Received : 2003.07.07
  • Published : 2003.10.30
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Abstract

In this paper we introduce the concepts of the weak $Denjoy_*$ integral of real-valued functions and the weak $Denjoy_*$-Dunford, weak $Denjoy_*$-Pettis, weak $Denjoy_*$-Bochner, weak $Denjoy_*$-McShane integrals of Banach-valued functions and then investigate some of their properties.

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