Smoothness of the Orlicz norm in Musielak–Orlicz function spaces |
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| Authors: | Rui F. Vigelis Charles C. Cavalcante |
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| Affiliation: | Computer Engineering, Campus Sobral, Federal University of Ceará, Sobral‐CE, Brazil |
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| Abstract: | 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. |
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| Keywords: | Musielak– Orlicz spaces Orlicz norm smoothness 46E30 46820 |
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