The exact value of normal structure coefficients and WCS coefficients in a class of Orlicz function spaces

摘要

Let Phi be an N-function. Then the normal structure coefficients N and the weakly convergent sequence coefficients WCS of the Orlicz function spaces L-Phi[0, 1] generated by Phi and equipped with the Luxemburg and Orlicz norms have the following exact values. (i) If F-Phi(t) = t phi(t)/Phi(t) is decreasing and 1 < C-Phi < 2 (where C-Phi = lim(t ->+infinity) t phi(t)/Phi(t)), then