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Browsing by Subject "minimal projection"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Minimal and co-minimal projections in spaces of continuous functions
    (2010) Mielczarek, Dominik
    Minimal and co-minimal projections in the space $C[0,1]$ are studied. We construct a minimal and co-minimal projection from $C[0,1]$ onto a subspace $Y$ defined in the introduction.
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On the uniqueness of minimal projections in Banach spaces
    (2012) Szlachtowska, Ewa; Mielczarek, Dominik
    Let $X$ be a uniformly convex Banach space with a continuous semi-inner product.We investigate the relation of orthogonality in $X$ and generalized projections acting on $X$. We prove uniqueness of orthogonal and co-orthogonal projections.