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Browsing by Subject "antiprojection operator"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    A new characterization of convex φ-functions with a parameter
    (2015) Micherda, Bartosz
    We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by $\Phi$ are isotonic if and only if $\Phi$ is convex with respect to its second variable. A dual result of this type is also proven for antiprojections. This gives the positive answer to the problem presented in Opuscula Mathematica in 2012.