TY - JOUR
AU - Ng, Wee Leng
PY - 2021/08/12
Y2 - 2024/07/24
TI - Banach-Steinhaus Theorem for the Space P of All Primitives of Henstock-Kurzweil Integrable Functions
JF - New Zealand Journal of Mathematics
JA - NZ J Math
VL - 51
IS -
SE - Articles
DO - 10.53733/114
UR - https://nzjmath.org/index.php/NZJMATH/article/view/114
SP - 79--83
AB - <p>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. </p>
ER -