On uniform convexity and modular approximation in the Weyl-Orlicz spaces

• Autorzy: Bedouhene F. , Morsli M.
• Języki publikacji: EN

Abstrakty

EN

Uniform convexity is well characterized in Orlicz spaces for both the Luxemburg and Orlicz norms [2], [3], [4] and in Besicovitch-Orlicz spaces of almost periodic functions for the Luxemburg norm [7]. The existence problem of the projection operator on closed convex subsets was considered in [5] in the case of Orlicz spaces, and in [8] in the case of Besicovitch-Orlicz space of almost periodic functions. In this paper we characterize the uniform convexity property in the Weyl-Orlicz spaces of almost periodic functions (W^a.p.) under the Luxemburg norm. Next this result is used to state the existence of the projection operator on complete convex subsets of W^a.p.

Słowa kluczowe

EN

Weyl-Orlicz space; almost periodic functions; uniform convexity; modular approximation

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2001
• Tom: [Z] 41
• Strony: 25--39
• Opis fizyczny: bibliogr. 9 poz.

Twórcy

autor

Bedouhene F.

autor

Morsli M.

• Depart.Maths.Faculté Sciences, Université de Tizi-Ouzou, Algérie,