instance, if is a normed space, then this topology is defined by the seminorms indexed by : More generally, if a family of seminorms Q defines the topology on , then the seminorms on defining the strong topology are given by indexed by and . In particular, see the weak operator topology and weak* operator topology. See also Eberlein compactum, a compact set in the weak topology Weak convergence (Hilbert space) Weak-star operator topology Weak convergence of measures Topologies on spaces of linear maps Topologies on the set of operators on a Hilbert space Vague topology References Bibliography General topology Topology Topology of function spaces