Year: 2011
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 220–223
Abstract
In this paper we apply Bishop-Phelps property to show that if $X$ is a Banach space and $G \subseteq X$ is the maximal subspace so that $G^\bot = \{x^* \in X^*|x^*(y) = 0; \forall y \in G\}$ is an $L$-summand in $X^*$, then $L^1(\Omega,G)$ is contained in a maximal proximinal subspace of $L^1(\Omega,X)$.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0220-6
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 3 : pp. 220–223
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: Bishop-Phelps theorem support point proximinality $L$-projection.