On the smoothness of Orlicz sequence spaces equipped with Orlicz norm.
We give a criterion of smoothness of Orlicz sequence spaces with Orlicz norm.
The characteristic of weak convergence on Banach sequence lattices.
A sufficient and necessary condition for weak convergence of sequences in a class of Banach sequence lattices is obtained. As a direct application, a complete criterion of a weak convergence of sequences in l infinity is formulated.
On CLUR points of Orlicz spaces
Criteria for compactly locally uniformly rotund points in Orlicz spaces are given.
λ-coefficient of Orlicz sequence spaces
On the WM points of Orlicz function spaces endowed with Orlicz norm.
In this paper, we introduce the concept of WM point and obtain the criterion of WM points for Orlicz function spaces endowed with Orlicz norm and the criterion of WM property for Orlicz space.
On the WM points of Orlicz function spaces endowed with Luxemburg norm.
The concept of WM point is introduced and the criterion of WM property in Orlicz function spaces endowed with Luxemburg norm is given.
Monotone coefficients and monotonicity of Orlicz spaces.
The criteria for uniform monotonicity, locally uniformly monotonicity and monotonicity of of Orlicz spaces with Luxemburg and Orlicz norms are given. The monotone coefficients of a point and of the spaces are computed.
On the LURWC property of Orlicz sequence space.
Necessary and sufficient conditions for URWC points and LURWC property are given in Orlicz sequence space lM.
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