Abstract view
On the Nonsquare Constants of Orlicz Spaces with Orlicz Norm


Published:20030201
Printed: Feb 2003
Abstract
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 $L^\Phi (\Omega)$.
MSC Classifications: 
46E30 show english descriptions
Spaces of measurable functions ($L^p$spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E30  Spaces of measurable functions ($L^p$spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
