Characterization of the strict convexity of the Besicovitch-Musielak-Orlicz space of almost periodic functions. (English) Zbl 1199.46045

Morsli, Mohamed; Smaali, Mannal

Commentat. Math. Univ. Carol. 48, No. 3, 443-458 (2007).

Summary: We introduce the new class of Besicovitch-Musielak-Orlicz almost periodic functions and consider its strict convexity with respect to the Luxemburg norm.

MSC:

46B20	Geometry and structure of normed linear spaces
42A75	Classical almost periodic functions, mean periodic functions
46E30	Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords:

Besicovitch-Orlicz space; almost periodic functions; strict convexity