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On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm. (English) Zbl 1061.46029
Summary: 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 \(\phi\) generating the space.
MSC:
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46B20 Geometry and structure of normed linear spaces
42A75 Classical almost periodic functions, mean periodic functions
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