Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions

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Ng, W. L. (2021). Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions. New Zealand Journal of Mathematics, 51, 79-83. https://doi.org/10.53733/114
Author
Ng, Wee Leng 
Abstract
In this paper, it is shown how the Banach-Steinhaus theorem for the space P of all primitives of Henstock-Kurzweil integrable functions on a closed bounded interval, equipped with the uniform norm, can follow from the Banach-Steinhaus theorem for the Denjoy space by applying the classical Hahn-Banach theorem and Riesz representation theorem.
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Date Issued
2021
Publisher
New Zealand Mathematical Society
Journal
New Zealand Journal of Mathematics
DOI
10.53733/114