Strong proximinality and renormings

Narayana, Darapaneni

doi:10.1090/S0002-9939-05-08151-7

Strong proximinality and renormings
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by Darapaneni Narayana PDF

Proc. Amer. Math. Soc. 134 (2006), 1167-1172 Request permission

Abstract:

We characterize finite-dimensional normed linear spaces as strong- ly proximinal subspaces in all their superspaces. A connection between upper Hausdorff semi-continuity of metric projection and finite dimensionality of subspace is given.

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