Some equivalent representations of nonsquare constants of spaces with Orlicz norm

摘要

The nonsquare constants in sense of James and Schaffer have the interrelation: C{sub}J (X) · C{sub}S (X) = 2 for a Ba-nach space X. For Orlicz sequence and function spaces equipped with Luxemburg norm, the representation of C{sub}J and C{sub}S were obtained ([6], [7]). In this paper, we show that the nonsquare constants C{sub}J (l{sup}φ), C{sub}J (L{sup}φ(Ω)) in sense of James and C{sub}S (l{sup}φ), C{sub}S (L{sup}φ(Ω)) in sense of Schaffer satisfy.