- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Proximity maps for certain spaces Bull. Korean Math. Soc. 1997 Vol. 34, No. 2, 259-271 Mun Bae Lee and Song Ho Park Sogang University, Sogang University Abstract : Let $X$ be a Banach space, $G$ a closed subspace of $X$ and $(S,\Omega,\mu)$ be a $\sigma$-finite measure space. The object of this paper is to discuss the proximity map of $L_p(S,G)$ in $L_p(S,X)$ where $p$ is a positive number. Results on proximity maps in $C(S,X)$ and $L(X,Y)$ are presented. Keywords : best approximation, continuous (linear, Lipschitz continuous) proximity map, 1-complemented, uniformly convex MSC numbers : 41A65, 46B20 Downloads: Full-text PDF