We investigate the space of vector valued multipliers of strongly Henstock-Kurzweil integrable functions. We prove that if X is a commutative Banach algebra with identity e such that $||e|| = 1$ and $g : [a; b] \to X is of bounded variation, then the multiplication operator defined by $Mg(f) := fg$ maps $\mathcal{SHK}$ to $\mathcal{HK}$. We also prove a partial converse, when $X$ is a Gel'fand space.
@article{461,
title = {On vector valued multipliers for the class of strongly HK-integrable functions},
journal = {Tatra Mountains Mathematical Publications},
volume = {68},
year = {2017},
language = {EN},
url = {http://dml.mathdoc.fr/item/461}
}
Singh, Surinder Pal; Bhatnagar, Savita. On vector valued multipliers for the class of strongly HK-integrable functions. Tatra Mountains Mathematical Publications, Tome 68 (2017) . http://gdmltest.u-ga.fr/item/461/