Banach-valued Henstock-Kurzweil integrable functions are McShane integrable on a portion
Tuo-Yeong Lee (2005)
Mathematica Bohemica
Similarity:
It is shown that a Banach-valued Henstock-Kurzweil integrable function on an -dimensional compact interval is McShane integrable on a portion of the interval. As a consequence, there exist a non-Perron integrable function and a continuous function such that for all .