Uniformly non-[formula] Besicovitch-Orlicz space of almost periodic functions

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

Abstrakty

EN

We consider uniformly non-[formula] property of the Besicovitch-Orlicz space of almost periodic functions. It is shownthat this property is equivalent to the reflexivity of this space.

Słowa kluczowe

EN

reflexivity; almost periodic functions; Besicovitch-Orlicz

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2005
• Tom: Vol. 45, [Z] 1
• Strony: 25--34
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Morsli M.

• Department of Mathematics. Faculty of Sciences.University of Tizi-Ouzou Oued-Aissi, Algeria

autor

Boulahia F.

• Department of Mathematics. Faculty of Sciences.University of Tizi-Ouzou Oued-Aissi, Algeria

Bibliografia

• [1] A. Beck, On the strong law of large numbers, Ergodic Theory, Academic Press, New York 1963.
• [2] A. Beck, A convexity condition in Banach space and the strong law of large numbers Proc. Amer. Math. Soc. 13 (1962), 329-334.
• [3] S. Chen, Geometry of Orlicz spaces, Dissertationes Math. 356, 1996.
• [4] D. P. Giesy, On convexity condition in normed lineaire spaces, Trans. Amer. Soc. 125 (1966), 114-146.
• [5] R. Grząślewicz, H. Hudzik and W. Orlicz, Uniform non-\(l_n^1\) property in some normed space, Bull. Polish Acad. Sci. Math. 34 (1986), 161-171.
• [6] R. C. James, Uniformly non-square Banach spaces, Ann. of Maths 80 (1964), 542-550.
• [7] T. R. Hillmann, Besicovitch-Orlicz spaces of almost periodic functions, Real and Stochastic Analysis, Wiley 1986, 119-167.
• [8] A. Kamińska and B. Turett, Uniformly non \(l_n^1\) Orlicz-Bochner spaces, Bull Acad. Polon. Sci. Math. 35(3-4) (1987), 211-218.
• [9] M. Morsli, On some convexity properties of the Besicovitch-Orlicz space of almost periodic functions, Comment. Math. 34 (1994), 137-152.
• [10] M. Morsli, On modular approximation property in the Besicovitch-Orlicz space of almost periodic functions, Comment. Math. Univ. Carolinae 38(3) (1997), 485-496.
• [11] M. M. Rao and Z. D. Ren, Theory of Orlicz spaces, Marcel Dekker, Inc. New-York 1991