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Exact values of some geometric constants of Orlicz spaces
Banach space Orlicz space geometric constant
2007/12/13
We present the exact values of nonsquare constants, von Neumann--Jordan constants, Jung constants, packing constants, weakly convergent sequence coefficients and normal structure coefficients in a cla...
Amemiya Norm Equals Orlicz Norm in Generalized Orlicz Spaces
Musielak--Orlicz space Luxemburg norm Orlicz norm Amemiya norm
2007/12/10
Let $(\Omega ,\mu )$ be a $\sigma $-finite measure space and $\Phi :\Omega \times \lbrack 0,\infty )\rightarrow \lbrack 0,\infty ]$ be a Musielak--Orlicz function. Denote by $L^{\Phi }(\Omega )$ the M...