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1. CJM 2003 (vol 55 pp. 204)

Yan, Yaqiang
On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm
Let $l^{\Phi}$ and $L^\Phi (\Omega)$ be the Orlicz sequence space and function space generated by $N$-function $\Phi(u)$ with Orlicz norm. We give equivalent expressions for the nonsquare constants $C_J (l^\Phi)$, $C_J \bigl( L^\Phi (\Omega) \bigr)$ in sense of James and $C_S (l^\Phi)$, $C_S \bigl( L^\Phi(\Omega) \bigr)$ in sense of Sch\"affer. We are devoted to get practical computational formulas giving estimates of these constants and to obtain their exact value in a class of spaces $l^{\Phi}$ and $L^\Phi (\Omega)$.

Keywords:James nonsquare constant, Schäffer nonsquare constant, Orlicz sequence space, Orlicz function space
Category:46E30

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