A Generalization of the Strict Topology
A Generalization of the Strict Topology
The strict topology ß on the space C(X) of bounded real-valued continuous functions on a topological space X was defined, for locally compact X, by Buck (Michigan Math.J. 5 (1958), 95-104).Among other things he showed that (a) C(X) is /3-complete, (b) the dual of C(X) under the strict topology is …