Let (, A, P) = ([0, 1), B(0,1),) where is the Lebesgue measure, and let the
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T(x)=x + 1/2, x ( [0, ½), T(x) = x = ½, x( [ ½, 1).
Then show that T is measurable and measure-preserving.
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For measurability of T it suffices to show that T 1 u v B 01 for 0 u v 1 This is so ...View the full answer
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Related Book For
An Introduction to Measure Theoretic Probability
ISBN: 978-0128000427
2nd edition
Authors: George G. Roussas
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