@Article{ATA-27-220, author = {}, title = {Some Applications of BP-Theorem in Approximation Theory}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {3}, pages = {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 $L^1(\Omega,X)$.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0220-6}, url = {http://global-sci.org/intro/article_detail/ata/4595.html} }