On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm

[摘要] Let $l^{Phi}$ and $L^Phi (Omega)$ be the Orlicz sequence space andfunction space generated by $N$-function $Phi(u)$ with Orlicz norm.We give equivalent expressions for the nonsquare constants $C_J(l^Phi)$, $C_J igl( L^Phi (Omega) igr)$ in sense of James and$C_S (l^Phi)$, $C_S igl( L^Phi(Omega) igr)$ in sense ofSch"affer. We are devoted to get practical computational formulasgiving estimates of these constants and to obtain their exact value ina class of spaces $l^{Phi}$ and $L^Phi (Omega)$.

[学科分类] 数学（综合）