Banach-Steinhaus Theorem for the Space P of All Primitives of Henstock-Kurzweil Integrable Functions

Authors

  • Wee Leng Ng Nanyang Technological University

DOI:

https://doi.org/10.53733/114

Keywords:

Banach-Steinhaus theorem, Henstock-Kurzweil integral, Denjoy space, Hahn-Banach theorem, Riesz representation theorem

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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Published

12-08-2021

How to Cite

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

Issue

Vol. 51 (2021)

Section

Articles