Normal structure and weakly normal structure  of Orlicz spaces

Shutao Chen; Yanzheng Duan

Displaying similar documents to “Normal structure and weakly normal structure of Orlicz spaces”

On CLUR points of Orlicz spaces

Quandi Wang, Liang Zhao, Tingfu Wang (2000)

Annales Polonici Mathematici

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Criteria for compactly locally uniformly rotund points in Orlicz spaces are given.

The fixed point property in Musielak-Orlicz sequence spaces

Harold Bevan Thompson, Yunan Cui (2001)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an -point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the property, the uniform property and to be nearly uniformly convex. We show that a Musielak-Orlicz sequence space equipped with the Orlicz norm has the fixed point property if and only if it is reflexive. ...

The property ( $β$ ) of Orlicz-Bochner sequence spaces

Paweł Kolwicz (2001)

Commentationes Mathematicae Universitatis Carolinae

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A characterization of property $(β)$ of an arbitrary Banach space is given. Next it is proved that the Orlicz-Bochner sequence space $l_{Φ} (X)$ has the property $(β)$ if and only if both spaces $l_{Φ}$ and $X$ have it also. In particular the Lebesgue-Bochner sequence space $l_{p} (X)$ has the property $(β)$ iff $X$ has the property $(β)$ . As a corollary we also obtain a theorem proved directly in [5] which states that in Orlicz sequence spaces equipped with the Luxemburg norm the property $(β)$ , nearly uniform convexity, the drop property...

Displaying similar documents to “Normal structure and weakly normal structure of Orlicz spaces”

On CLUR points of Orlicz spaces

The fixed point property in Musielak-Orlicz sequence spaces

The property ( β ) of Orlicz-Bochner sequence spaces

The property ( $β$ ) of Orlicz-Bochner sequence spaces