Geodesic
APPLICATION OF BISHOP-PHELPS THEOREM IN THE APPROXIMATION THEORY
ZARGHAMI, R.1
1 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 2, p. 144-147.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper we apply the Bishop-Phelps Theorem to show that if $X$ is a Banach space and $G\subseteq X$ is a maximal subspace so that $G^\perp = \{x^* \in X^*\mid x^*(y) = 0; \forall y \in G\}$ is an L-summand in $X^*$, then $L^1(\Omega,G)$ is contained in a maximal proximinal subspace of $L^1(\Omega,X)$.
DOI : 10.22436/jnsa.003.02.06
Classification : 46E99
Keywords: Bishop-Phelps Theorem, support point, proximinality, L-projection.

ZARGHAMI, R. 1

1 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran 
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ZARGHAMI, R. APPLICATION OF BISHOP-PHELPS THEOREM IN THE APPROXIMATION THEORY. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 2, p. 144-147. doi : 10.22436/jnsa.003.02.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.02.06/

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