AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the Banach space X, then L1(μ, Y) is proximinal in L1(μ, X) if and only if Lp(μ, Y) is proximinal in Lp(μ, Y) for every p, 1 < p < ∞. As an application of this result we prove that if Y is either reflexive or Y is a separable proximinal dual space, then L1(μ, Y) is proximinal in L1(μ, X)
Abstract. In this paper we apply the Bishop-Phelps Theorem to show that if X is a Banach space and G...
AbstractLetXbe a Banach space and letYbe a closed subspace ofX. Let 1⩽p⩽∞ and let us denote byLp(μ, ...
AbstractWe say that a normed linear space X is a R(1) space if the following holds: If Y is a closed...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractThe aim of this note is to fill in a gap in our previous paper in this journal. Precisely, w...
AbstractThe object of this paper is to prove the following theorem: Let Y be a closed subspace of th...
AbstractThe object of this paper is to prove the following theorem: Let Y be a closed subspace of th...
ABSTRACT. Let X be a real Banach space and (,) be a finite measure space and be a strictly i1creasin...
AbstractLet (S,Σ,μ) be a complete positive σ-finite measure space and let X be a Banach space. We ar...
We show that a separable proximinal subspace of\ud X\ud , say\ud Y\ud is\ud strongly proximinal (str...
AbstractLet X be a Banach space, (Ω,Σ,μ) a finite measure space, and L1(μ,X) the Banach space of X-v...
AbstractLet G be a reflexive subspace of the Banach space E and let Lp(I,E) denote the space of all ...
AbstractLet us say that a subspace M of a Banach space X is absolutely proximinal if it is proximina...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
Abstract. In this paper we apply the Bishop-Phelps Theorem to show that if X is a Banach space and G...
AbstractLetXbe a Banach space and letYbe a closed subspace ofX. Let 1⩽p⩽∞ and let us denote byLp(μ, ...
AbstractWe say that a normed linear space X is a R(1) space if the following holds: If Y is a closed...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractThe aim of this note is to fill in a gap in our previous paper in this journal. Precisely, w...
AbstractThe object of this paper is to prove the following theorem: Let Y be a closed subspace of th...
AbstractThe object of this paper is to prove the following theorem: Let Y be a closed subspace of th...
ABSTRACT. Let X be a real Banach space and (,) be a finite measure space and be a strictly i1creasin...
AbstractLet (S,Σ,μ) be a complete positive σ-finite measure space and let X be a Banach space. We ar...
We show that a separable proximinal subspace of\ud X\ud , say\ud Y\ud is\ud strongly proximinal (str...
AbstractLet X be a Banach space, (Ω,Σ,μ) a finite measure space, and L1(μ,X) the Banach space of X-v...
AbstractLet G be a reflexive subspace of the Banach space E and let Lp(I,E) denote the space of all ...
AbstractLet us say that a subspace M of a Banach space X is absolutely proximinal if it is proximina...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
Abstract. In this paper we apply the Bishop-Phelps Theorem to show that if X is a Banach space and G...
AbstractLetXbe a Banach space and letYbe a closed subspace ofX. Let 1⩽p⩽∞ and let us denote byLp(μ, ...
AbstractWe say that a normed linear space X is a R(1) space if the following holds: If Y is a closed...
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