Question: Consider a measure space ([0, 2*pai], ML [0, 2*pai], ,meu*L). Define a signed measure of ta on this space by setting X(E) = sin

Consider a measure space ([0, 2*pai], ML [0, 2*pai], ,meu*L). Define a

Consider a measure space ([0, 2*pai], ML [0, 2*pai], ,meu*L). Define a signed measure of ta on this space by setting X(E) = sin rd, for EM, ~ [0, 2]. E Let C = []. Let e > 0 be arbitrary given. Find a measurable set C'CC such that X(C) X(C) and X(E) > - for every measurable subset E of C".

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