The representation of abstract measure functions
The representation of abstract measure functions
Marchthat X2(0(xi)) =X2(<£(yi)) if and only if Xi(xi) =Xi(yi).If we further have X2((/>(xi)) =Xi(xi) for a suitable isomorphism 4>, then (£1, Xi) and (E2, X2) are said to be isometric.We shall here be interested in abstract measure algebras only to within isomorphism;and this permits a further reduction of the problem.In …