A General Hewitt-Yosida Decomposition
A General Hewitt-Yosida Decomposition
In 1952, E. Hewitt and K. Yosida [ 3 ] proved that a bounded, finitely additive real-valued set function has a unique representation as the sum of a countably additive function and a “purely finitely additive” function. Below, using a variation of the Carathéodory process we give a suitable generalization …