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 and . We also give the sufficient and necessary conditions for an infinite matrix to represent a projection operator from or onto anyone of their maximal proper subspaces.
Citation
Entisarat El-Shobaky. Sahar Mohammed Ali. Wataru Takahashi. "On projection constant problems and the existence of metric projections in normed spaces." Abstr. Appl. Anal. 6 (7) 401 - 411, 31 December 2001. https://doi.org/10.1155/S1085337501000732
Information