Let be a finite positive measure space, X a Banach space, a modulus function and a strongly measurable function. The Orlicz space is. The space of Bochner p-integrable functions, is.Also,. When X is a Banach algebra we show that the multipliers of is if for all a1 and b.Also, = if for all a,b in [0,which generalizes the special case X being the complex numbers C. When is also non-atomic we show that for all iff.