Abstract
In this paper we apply Bishop-Phelps property to show that if X is a Banach space and G ⊆ X is the maximal subspace so that G ⊥ = {x* ∈ X*|x*(y)=0; Åy ∈ G} is an L-summand in X*, then L 1(Ω,G) is contained in a maximal proximinal subspace of L 1(Ω,X).
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This article has been retracted at the request of the EiC due to redundant publication; it was previously published with the title “Application of Bishop-Phelps theorem in the approximation theory” in journal J. Nonlinear Sci. Appl., 3, no. 2 (2010), pp. 144-147.
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Sadeqi, I., Zarghami, R. RETRACTED ARTICLE: Some applications of BP-theorem in approximation theory. Anal. Theory Appl. 27, 220–223 (2011). https://doi.org/10.1007/s10496-011-0220-6
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DOI: https://doi.org/10.1007/s10496-011-0220-6