Add to ORKGWe 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 lp, 1 ≤ p < ∞ and c0. We also give the sufficient and necessary conditions for an infinite matrix to represent a projection operator from lp, 1 ≤ p < ∞ or c0 onto anyone of their maximal proper subspaces. 1
Abstract. Let BY denote the unit ball of a normed linear space Y. A symmetric, bounded, closed, conv...
Let be a closed bounded convex subset of a real Banach space with as its interior and the Mink...
AbstractThe continuity of the best approximation projection onto a suitable subspace of a metric spa...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
In this paper we study the connection between the metric projection operator PK : B → K, where B is ...
In this paper we study the connection between the metric projection operator P K : B → K, where B is...
AbstractA characterization is given of those proximinal subspaces of a normed linear space whose (se...
AbstractLetXbe a Banach space. GivenMa subspace ofXwe denote withPMthe metric projection ontoM. We d...
Abstract. The study of sufficient enlargements of unit balls of Banach spaces forms a natural line o...
AbstractIt is shown that a Banach space is uniformly non-square if and only if the supremum of the n...
AbstractA multi-valued mapping of a reflexive real Banach space into its subspace is a metric projec...
AbstractIn 1979, Bjornestal obtained a local estimate for a modulus of uniform continuity of the met...
AbstractWe discuss the geometric characterization of a subsetKof a normed linear space via continuit...
Abstract. Let BY denote the unit ball of a normed linear space Y. A symmetric, bounded, closed, conv...
Let be a closed bounded convex subset of a real Banach space with as its interior and the Mink...
AbstractThe continuity of the best approximation projection onto a suitable subspace of a metric spa...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
In this paper we study the connection between the metric projection operator PK : B → K, where B is ...
In this paper we study the connection between the metric projection operator P K : B → K, where B is...
AbstractA characterization is given of those proximinal subspaces of a normed linear space whose (se...
AbstractLetXbe a Banach space. GivenMa subspace ofXwe denote withPMthe metric projection ontoM. We d...
Abstract. The study of sufficient enlargements of unit balls of Banach spaces forms a natural line o...
AbstractIt is shown that a Banach space is uniformly non-square if and only if the supremum of the n...
AbstractA multi-valued mapping of a reflexive real Banach space into its subspace is a metric projec...
AbstractIn 1979, Bjornestal obtained a local estimate for a modulus of uniform continuity of the met...
AbstractWe discuss the geometric characterization of a subsetKof a normed linear space via continuit...
Abstract. Let BY denote the unit ball of a normed linear space Y. A symmetric, bounded, closed, conv...
Let be a closed bounded convex subset of a real Banach space with as its interior and the Mink...
AbstractThe continuity of the best approximation projection onto a suitable subspace of a metric spa...