Exercise 3.9 Suppose X is the set of real numbers, B is the Borel 0-algebra, and m and n are two measures on (X,B) such that m((a, b)) = n((a, b)) < ∞ whenever -o < a

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Need some assistance with measures for real analysis and Borrel sigma algebras. Thanks so much for explaining.

22
CHAPTER 3. MEASURES
Exercise 3.9 Suppose X is the set of real numbers, B is the Borel
0-algebra, and m and n are two measures on (X,B) such that
m((a, b)) = n((a, b)) < ∞ whenever -0 < a < b < oo. Prove that
m(A) = n(A) whenever A E B.
< a <b < ∞. Prove that
Transcribed Image Text:22 CHAPTER 3. MEASURES Exercise 3.9 Suppose X is the set of real numbers, B is the Borel 0-algebra, and m and n are two measures on (X,B) such that m((a, b)) = n((a, b)) < ∞ whenever -0 < a < b < oo. Prove that m(A) = n(A) whenever A E B. < a <b < ∞. Prove that
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