Let (, A, P) ( 0, 1), B(0,1),) where is the Lebesgue measure, and let the transformation T be defined by T(x) x 1 2, x ( 0, ), T(x) x , x( , 1) Then show that T is measurable and measure preserving ...

For measurability of T it suffices to show that T 1 u v B 01 for 0 u v 1 This is so ...

Let (, A, P) = ([0, 1), B(0,1),) where is the Lebesgue measure, and let the

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Let (Ω, A, P) = ([0, 1), B(0,1),λ) where λ is the Lebesgue measure, and let the transformation T be defined by
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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An Introduction to Measure Theoretic Probability

ISBN: 978-0128000427

2nd edition

Authors: George G. Roussas

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Question Posted: Mar 25, 2016 03:39 AM

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Let (, A, P) = ([0, 1), B(0,1),) where is the Lebesgue measure, and let the

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An Introduction to Measure Theoretic Probability

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