Let : RR be a simple function defined by n aXA, where A = {xR: y(x)...

Transcribed Image Text:

Let : RR be a simple function defined by n Σa₁XA, where A₁ = {x≤R: y(x) = a₁}. i=1 Prove that is measurable if and only if all the A; 's are measurable. Let : RR be a simple function defined by n Σa₁XA, where A₁ = {x≤R: y(x) = a₁}. i=1 Prove that is measurable if and only if all the A; 's are measurable.

Answer rating: 100% (QA)

The detailed ... View the full answer