Question: (i) If 1 and 1 are two measures on ((, A), then show that = 1 + 2 is also a measure, where

(i) If μ1 and μ1 are two measures on ((, A), then show that μ = μ1 + μ2 is also a measure, where μ (A) = μ1 (A) + μ2 (A), A ( A.
(ii) if at least one of the measures μ1 and μ2 is complete, then so is μ

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i We have to show that is nonnegative 0 and is additive Indeed A 1 A 2 A 0 1 2 0 i 1 A i 1 i 1 A i ... View full answer

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