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Some Geometric Properties in Orlicz Sequence Spaces equipped with Orlicz Norm
Orlicz sequence space rotundity local uniform rotundity compact local uniform rotundity property H smoothness copy of $l_\infty$
2009/1/20
It is proved that for any reflexive Banach space $X$, both $X$ and $X^{*}$ are CLUR if and only if both $X$ and $X^{*}$ have property H. Criteria for rotundity, local uniform rotundity, compact l...
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...