AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which has a Chebyshev subspace M, such that the projection onto M is linear and has norm equal to 2. Moreover, we give necessary and sufficient conditions on a space so that every projection has norm less than a constant which is less than 2
In this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is the norm...
AbstractIn this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is ...
Abstract. The study of sufficient enlargements of unit balls of Banach spaces forms a natural line o...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractIt is shown that a Banach space is uniformly non-square if and only if the supremum of the n...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the ...
A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the ...
AbstractA multi-valued mapping of a reflexive real Banach space into its subspace is a metric projec...
AbstractIn this note we consider Chebyshev subspaces (i.e., those that contain a unique nearest elem...
AbstractLetXbe a Banach space. GivenMa subspace ofXwe denote withPMthe metric projection ontoM. We d...
Abstract. Let BY denote the unit ball of a normed linear space Y. A symmetric, bounded, closed, conv...
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...
In this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is the norm...
AbstractIn this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is ...
Abstract. The study of sufficient enlargements of unit balls of Banach spaces forms a natural line o...
AbstractIn this note we give an example of a strictly convex, reflexive, smooth Banach space which h...
AbstractIt is shown that a Banach space is uniformly non-square if and only if the supremum of the n...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
We give the sufficient conditions for the existence of a metric projection onto convex closed subset...
A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the ...
A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the ...
AbstractA multi-valued mapping of a reflexive real Banach space into its subspace is a metric projec...
AbstractIn this note we consider Chebyshev subspaces (i.e., those that contain a unique nearest elem...
AbstractLetXbe a Banach space. GivenMa subspace ofXwe denote withPMthe metric projection ontoM. We d...
Abstract. Let BY denote the unit ball of a normed linear space Y. A symmetric, bounded, closed, conv...
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...
In this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is the norm...
AbstractIn this paper, we study approximatively τ-compact and τ-strongly Chebyshev sets, where τ is ...
Abstract. The study of sufficient enlargements of unit balls of Banach spaces forms a natural line o...
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