Abstract: An important technique in Optimization theory is to find formulas that equate the minimum of a class of objects with the maximum from a different class. When such a formula can be found, Min-Max problems can be more easily handled since one can consider more convenient side of the equation to proceed further. It is known that linear analysis (Functional Analysis) is a good set up to solve optimization problems. In this talk, we present a recently obtained, such a formula for continuous linear maps which allows for global optimization from local conditions.