Resumen de Ball proximinality of closed * subalgebras in C(Q)

Indumathi Vedarethinam, S. Lalithambigai, Bor-Luh Lin

• The notion of ball proximinality and the strong ball proximinality were recently introduced in [2]. We prove that a closed * subalgebra A of C(Q) is strongly ball proximinal in C(Q) and the metric projection from C(Q), onto the closed unit ball of A, is Hausdorff metric continuous and hence has continuous selection.