On projection constant problems and the existence of metric projections in normed spaces
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 class...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337501000732 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |