Locally compact spaces of measures

Norman Y. Luther
1970 Proceedings of the American Mathematical Society  
Under varying conditions on the topological space X, the spaces of <r-smooth, T-smooth, and tight measures on X, respectively, are each shown to be locally compact in the weak topology if, and only if, X is compact. = {mEM(X); m^O}. We define, for each mEffl(X), the norm Received by the editors October 13, 1969.
doi:10.1090/s0002-9939-1970-0280668-4 fatcat:z4g4xg2uabbvnm2vch7elzmhnq