On projection constant problems and the existence of metric projections in normed spaces

Entisarat El-Shobaky, Sahar Mohammed Ali and Wataru Takahashi

Abstract and Applied Analysis, 2001, vol. 6, 1-11

Abstract:

We give the sufficient conditions for the existence of a metric projection onto convex closed subsets of normed linear spaces which are reduced conditions than that in the case of reflexive Banach spaces and we find a general formula for the projections onto the maximal proper subspaces of the classical Banach spaces l   p , 1 ≤ p < ∞ and c   0 . We also give the sufficient and necessary conditions for an infinite matrix to represent a projection operator from l   p , 1 ≤ p < ∞ or c   0 onto anyone of their maximal proper subspaces.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:252507

DOI: 10.1155/S1085337501000732

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