한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제3권1호
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- Pages.1-7
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- 1996
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
SOME CHARACTERIZATIONS OF THE PETTIS INTEGRABILITY VIA FUNCTIONALS
초록
Since the invention of the Pettis integral over half century ago, the problem of recognizing the Pettis integrability of a function against an individual condition has been much studied [1,6,7,8,12]. In spite of the R.F. Geitz (1982) and M. Talagrand's (1984) characterization of Pettis integrability, there is often trouble in recognizing when a function is or is not Pettis integrable.(omitted)
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