Smoothness of the Orlicz norm in Musielak–Orlicz function spaces
Copyright policy )Smoothness of the Orlicz norm in Musielak–Orlicz function spaces
In this paper, we present a characterization of support functionals and smooth points in , the Musielak–Orlicz space equipped with the Orlicz norm. As a result, criterion for the smoothness of is also obtained. Some expressions involving the norms of functionals in , the topological dual of , are proved for arbitrary Musielak–Orlicz functions.
Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, Musielak-Orlicz spaces, FOS: Mathematics, Orlicz norm, smoothness, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA)
Mathematics - Functional Analysis, Geometry and structure of normed linear spaces, Musielak-Orlicz spaces, FOS: Mathematics, Orlicz norm, smoothness, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA)
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