충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제3권1호
  • /
  • Pages.33-40
  • /
  • 1990
  • /
  • 1226-3524(pISSN)
  • /
  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지

Some Geometric Properties of the Weak*-integral

  • 투고 : 1990.04.30
  • 발행 : 1990.06.30
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초록

We prove that if a $weak^*$-measurable function f defined on a finite measure space into a dual Banach space is separable-like, then for every measurable set E, the $weak^*$ core of f over E is the $weak^*$ convex closed hull of the $weak^*$ essential range of f over E.

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