대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권1호
  • /
  • Pages.91-102
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

REMARKS ON DENJOY-DUNFORD AND DENJOY-PETTIS INTEGRALS

  • Park, Chun-Kee (Department of Mathematics Kangwon National University)
  • 발행 : 2000.01.01
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초록

In this paper we generalize some results of R. A. Gordon ([4]) and J. L. Garmez and J. Mendoza ([3]) and prove some convergence theorems for Denjoy-Dunford and Denjoy-Pettis integrable functions.

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참고문헌

  1. Springer, Grad. Texts in Math. v.92 Sequences and Series in Banach spaces J. Diestel
  2. Math. Surveys v.15 Vector measures J. Diestel;J. J. Uhl Jr.
  3. Studia Math v.130 On Denjoy-Dunford and Denjoy-Pettis integrals J. L. Gamez;J. Mendoza
  4. Studia Math. v.92 The Denjoy extension of the Bochner, Pettis and Dunford inte-grals R. A. Gordon
  5. Grad. Stud. Math. v.4 The integrals of Lebesque, Denjoy, Perron and Henstock
  6. Mem. Amer. Math. Soc. v.85 Denjoy integration in abstract spaces D. W. Solomon