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Browsing by Subject "contractive and optimal sets"

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    Item type:Article, Access status: Open Access ,
    Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition
    (2013) Denkowska, Anna
    In this paper we use our recent generalization of a theorem of Jamison-Kamińska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order to compare contractive and optimal sets in finite-dimensional Musielak-Orlicz $\ell^{(n)}_\Phi$ spaces in the spirit of Kamińska-Lewicki. We also give an example illustrating the importance of the smoothness assumptions in our theorem.