Bounded linear functionals on the space of Henstock-Kurzweil integrable functions |
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| Authors: | Tuo-Yeong Lee |
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| Institution: | 1.Mathematics and Mathematics Education, National Institute of Education,Nanyang Technological University,Singapore,Republic of Singapore |
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| Abstract: | Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation
theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence
and equality of two iterated Henstock-Kurzweil integrals. |
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