The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 2 Issue 1
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- Pages.1-8
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- 1995
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
THE PETTIS INTEGRABILITY OF BOUNDED WEAKLY MEASURABLE FUNCTIONS ON FINITE MEASURE SPACES
Abstract
Since the concept of Pettis integral was introduced in 1938 [10], the Pettis integrability of weakly measurable functions has been studied by many authors [5, 6, 7, 8, 9, 11]. It is known that there is a bounded function that is not Pettis integrable [10, Example 10. 8]. So it is natural to raise the question: when is a bounded function Pettis integrable\ulcorner(omitted)
Keywords