Discussion that was omitted from page 210 of the authors' article "Duality in Semi-Infinite Programs and Some Works of Haar and Caratheódory," Management Science, Vol. 9, No. 2 (January 1963).

By constructing a new infinite dimensional space for which the extreme point--linear independence and opposite sign theorems of Charnes and Cooper continue to hold, and, building on a little-known work of Haar (herein presented), an extended dual theorem comparable in precision and...