摘要

The representation of dual spaces of E-M (, X), owing to its extensive application, is given in this paper. Using the representation, we get the sufficient and necessary conditions of L-M(mu, X) possessing drop property, and extend the result of Hudzik and Wang [H. Hudzik, B. Wang, Approximative compactness in Orlicz spaces, J. Approx. Theory 95 (1998) 82-89]. Simultaneously, under some conditions, the weak* drop property in L-M (mu, X*) and L-M (mu, X)* is discussed.