SUMMARY
Let f=∑ ϕ Ai xi ∈ S( X ), where xi ∈ X, Ai ∈ B. LetR f ∈ C ( X ), a ∈ T, x ∈ X 0, µ=δa x, δa being the Dirac measure concentrated at a. Proposition 1 (the properties of the integral). (a) Let f ∈ TM(R), µ ∈ cabv(R), x ∈ X, y ∈ X 0. Y0 being compact, for any ε > 0 there exists N ∈ N and z1, z2,.., z N ∈ Y0 such that ∀ a ∈ Y0, ∃ p ∈ {1, 2,.., N } with k a - z p k and amp;lt; 3ε. Let now a ∈ Y0, arbitrarily; 1≤ p ≤ N the authors find p ∈ {1, 2 . . .
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