Dobrić, V. Probab. Th. Rel. Fields (1988) 78: 403. doi:10.1007/BF00334203
The law of large numbers is extended to random elements taking values in locally convex spaces. The necessary and sufficient conditions for the law are given in a large class of locally convex spaces, vix. ℱ normed spaces. This class includes, among others, the test function spaces and the distribution spaces.