We use net-limits to give a short alternative description of the Henstock-Kurzweil integral of vector valued functions that will allow us to naturally define a seminorm on the space of Henstock-Kurzweil integrable functions. A brief survey of the connections between the different classes of strong and weak integrable functions is presented. As a byproduct, we obtain a further generalization of the Fong’s extension of Orlicz-Pettis Theorem [3].

measurable function, Pettis-, Dunford-, Henstock-Kurzweil-integrable functions, Orlicz-Pettis theorem.