Normal bases for non-archimedean spaces of continuous functions
Normal bases for non-archimedean spaces of continuous functions
ANN VERDOODTK is a complete non-archimedean valued field and Mis a compact, infinite, subset of K. C(M -K) is the Banach space of continuous functions from M to K, equipped with the supremum norm .Let (p,,(x)) be a sequence of polynomials, with degp n --n.We give necessary and sufficient conditions …