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.