Abstract
Let X be a real Banach space and let G be a closed subset of X. The set G is called coproximinal in X if for each x ∈ X, there exists y₀ ∈ G such that ||y − y₀|| ≤ ||x – y|| , for all y ∈ G. In this paper, we study coproximinality of L∞(µ, G) in L∞(µ, X), when G is either separable or reflexive coproximinal subspace of X.