Add to ORKGLetX be a Banach space and let (I,Ω, µ) be a measure space. For 1 ≤ p <∞, let Lp(I,X) denote the space of Bochner p-integrable functions defined on I with values in X. The object of this paper is to give sufficient conditions for the proximinality of L1(I,H) + L1(I,G) in L1(I,X), where H and G are two proximinal subspaces of X which include as a special case the proximality of L1(I) ∧ ⊗ G+H ∧ ⊗ L1(I) in L1(I × I)
Let X be a Banach space and Y a weakly K-analytic subspace of X. In this paper we study the simultan...
ABSTRACT. Let X be a real Banach space and (,) be a finite measure space and be a strictly i1creasin...
AbstractThe aim of this note is to fill in a gap in our previous paper in this journal. Precisely, w...
AbstractLet G be a reflexive subspace of the Banach space E and let Lp(I,E) denote the space of all ...
Let X be a Banach space and G be a closed subspace of X. We say G is 2−simultaneously proximinal in ...
AbstractLet X be a Banach space, (Ω,Σ,μ) a finite measure space, and L1(μ,X) the Banach space of X-v...
Let \(X\) be a Banach space, \(G$\) be a closed subset of \(X\), and \((\Omega,\Sigma,\mu )\) be a \...
We show that a separable proximinal subspace of\ud X\ud , say\ud Y\ud is\ud strongly proximinal (str...
AbstractLetXbe a complex Banach space andL1(X)≔L1(T; X) the Bochner space on the circle T. TheX-valu...
Let X be a Banach space. Let1 ≤ p < ∞and denote by Lp(µ, X) the Banach space of all X-valued Bochner...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractLetXbe a Banach space and letYbe a closed subspace ofX. Let 1⩽p⩽∞ and let us denote byLp(μ, ...
Let \(X\) be a Banach space and \(G\) be a closed subspace of \(X\). Let us denote by \(L^{\infty}\l...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
Let X be a Banach space and Y a weakly K-analytic subspace of X. In this paper we study the simultan...
ABSTRACT. Let X be a real Banach space and (,) be a finite measure space and be a strictly i1creasin...
AbstractThe aim of this note is to fill in a gap in our previous paper in this journal. Precisely, w...
AbstractLet G be a reflexive subspace of the Banach space E and let Lp(I,E) denote the space of all ...
Let X be a Banach space and G be a closed subspace of X. We say G is 2−simultaneously proximinal in ...
AbstractLet X be a Banach space, (Ω,Σ,μ) a finite measure space, and L1(μ,X) the Banach space of X-v...
Let \(X\) be a Banach space, \(G$\) be a closed subset of \(X\), and \((\Omega,\Sigma,\mu )\) be a \...
We show that a separable proximinal subspace of\ud X\ud , say\ud Y\ud is\ud strongly proximinal (str...
AbstractLetXbe a complex Banach space andL1(X)≔L1(T; X) the Bochner space on the circle T. TheX-valu...
Let X be a Banach space. Let1 ≤ p < ∞and denote by Lp(µ, X) the Banach space of all X-valued Bochner...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractLetXbe a Banach space and letYbe a closed subspace ofX. Let 1⩽p⩽∞ and let us denote byLp(μ, ...
Let \(X\) be a Banach space and \(G\) be a closed subspace of \(X\). Let us denote by \(L^{\infty}\l...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
Let X be a Banach space and Y a weakly K-analytic subspace of X. In this paper we study the simultan...
ABSTRACT. Let X be a real Banach space and (,) be a finite measure space and be a strictly i1creasin...
AbstractThe aim of this note is to fill in a gap in our previous paper in this journal. Precisely, w...