Property and of Orlicz spaces
On the locally uniformly weak star rotundity of Orlicz spaces.
In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.
On the weak star uniformly rotund points of Orlicz spaces.
We obtain the necessary and sufficient condition of weak star uniformly rotund point in Orlicz spaces.
On the uniformly normal structure of Orlicz spaces with Orlicz norm
We prove that in Orlicz spaces endowed with Orlicz norm the uniformly normal structure is equivalent to the reflexivity.
Criteria for in Musielak-Orlicz spaces
In this paper, some necessary and sufficient conditions for in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.
On W*UR point and UR point of Orlicz spaces with Orlicz norm.
For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
Smooth, very smooth and strongly smooth points in Musielak-Orlicz function spaces equipped with the Luxemburg norm
First, we extend the criteria for smooth points of from [22] to the whole class of Musielak-Orlicz spaces. Next, we present criteria for very smooth and strongly smooth points of .
Nearly smooth points and near smoothness in Orlicz spaces
Nearly smooth points and near smoothness in Orlicz spaces are characterized. It is worth to notice that in the nonatomic case smooth points and nearly smooth points are the same, but in the sequence case they differ.
The criteria of strongly exposed points in Orlicz spaces
In Orlicz spaces, the necessary and sufficient conditions of strongly exposed points are given.
On uniformly nonsquare points and nonsquare points of Orlicz spaces
For Orlicz spaces endowed with the Orlicz norm and the Luxemburg norm, the criteria for uniformly nonsquare points and nonsquare points are given.
On the WM property of Orlicz sequence spaces endowed with the Orlicz norm
We obtain the criterion of the WM property for Orlicz sequence spaces endowed with the Orlicz norm.
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