Hi dannidin-ga could you please help me with this problems,

  1) If (x,M,mu)is complete, then so is (Y,MT,muT).  Note: here MT is
M to the power T. and also the for muT.

  2) If f is an MT integrable function on Y(extended real-valued or
complex valued) non-negative or muT integrable then foT is M
measurable and non-negative or mu integrable and we have

         integral over Y f dmuT = integral over X foT dmu.