Metric projections of closed subspaces of $c_0$ onto subspaces of finite codimension

Tom 99 / 2004

V. Indumathi Colloquium Mathematicum 99 (2004), 231-252 MSC: 46B20, 41A50, 41A65. DOI: 10.4064/cm99-2-8

Streszczenie

Let $X$ be a closed subspace of $c_0$. We show that the metric projection onto any proximinal subspace of finite codimension in $X$ is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.

Autorzy

  • V. IndumathiDepartment of Mathematics
    Pondicherry University, Kalapet
    Pondicherry-605014, India
    e-mail

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