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