International Journal of Mathematics and Mathematical Sciences
Volume 7 (1984), Issue 1, Pages 23-33
doi:10.1155/S016117128400003X

Strict topologies in non-archimedean function spaces

Abstract

Let F be a non-trivial complete non-Archimedean valued field. Some locally F-convex topologies, on the space Cb(X,E) of all bounded continuous functions from a zero-dimensional topological space X to a non-Archimedean locally F-convex space E, are studied. The corresponding dual spaces are also investigated.