Uniform non-squareness and property $(\beta )$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm

Fatiha Boulahia; Mohamed Morsli

Displaying similar documents to “Uniform non-squareness and property $(β)$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm”

On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm

Mohamed Morsli, Fazia Bedouhene (2005)

Colloquium Mathematicae

Similarity:

In [5], we characterized the uniform convexity with respect to the Luxemburg norm of the Besicovitch-Orlicz space of almost periodic functions. Here we give an analogous result when this space is endowed with the Orlicz norm.

On some convexities of Orlicz and Orlicz-Bochner spaces

S. Chen, Henryk Hudzik (1988)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.

Mohamed Morsli, Fazia Bedouhene (2003)

Revista Matemática Complutense

Similarity:

The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function f generating the space.

Intersections and algebraic sums of Musielak-Orlicz spaces

Hudzik, H. (1981)

Portugaliae mathematica

Similarity:

On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm

Paweł Kolwicz (2005)

Banach Center Publications

Similarity:

We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Zenon Zbąszyniak (1994)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.

Displaying similar documents to “Uniform non-squareness and property ( β ) of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm”

On the uniform convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm

On some convexities of Orlicz and Orlicz-Bochner spaces

On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.

Intersections and algebraic sums of Musielak-Orlicz spaces

On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm

Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm

Displaying similar documents to “Uniform non-squareness and property $(β)$ of Besicovitch-Orlicz spaces of almost periodic functions with Orlicz norm”