Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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DENJOY-TYPE INTEGRALS OF BANACH-VALUED FUNCTIONS

  • Cho, Sung-Jin (Department of Applied Mathematics, Pukyoung National University) ;
  • Lee, Byung-Soo (Department of Mathematics, Kyungsung University) ;
  • Lee, Gue-Myung (Department of Applied Mathematics, Pukyoung National University)
  • Published : 1998.04.01
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Abstract

In this paper Denjoy*-Dunford, Denjoy*-Pettis, Denjoy*-McShane and Denjoy*-Bochner integrals of functions which map an interval [a,b] into a Banach space X are defined. And we give the relations among the integrals.

Keywords

References

  1. C. R. Soc. Sci. Lett. Cl. III Sci. Math. Phys. v.41 On Denjoy integrals of abstract function A. Alexiewiez
  2. Proc. Nat. Acad. Sci. v.36 Absolute and unconditional convergence in a normed linear spaces A. Dvoretzky;C. A. Rogers
  3. Illinois J. Math. v.38 The Henstock and McShane integrals of vector-valued functions D. H. Fremlin
  4. Illinois J. Math. v.38 On the integration of vector-valued functions D. H. Fremlin;J. Mendoza
  5. Studia Math. v.92 The Denjoy extension of the Bochner, Pettis and Dunford integrals R. A. Gordon
  6. Gradutate Studics in Mathematics v.4 The integrals of Lebesque, Perron, and Henstock R. A. Gordon
  7. Illinois J. Math. v.34 The McShane integrals of Banach-valued functions R. A. Gordon
  8. Bull. Korean Math. v.33 The Denjoy extension of the McShane integral J. G. Park;D. H. Lee
  9. Theory of the Integral(2nd revised ed.) S. Saks