Let . Show that is measurable if and only if is measurable from to and is measurable from to . Attempted solution. " " . Set . Then , so . But . Similarily, . " " , which is in . Since and , it follows that . Appreciate any input/corrections!
Follow Math Help Forum on Facebook and Google+
Originally Posted by TheProphet Let . Show that is measurable if and only if is measurable from to and is measurable from to . Attempted solution. " " . Set . Then , so . But . Similarily, . " " , which is in . Since and , it follows that . Appreciate any input/corrections! Whoah, overusage of fancy letters. What is the tensor product? Just the usual product measure?
Originally Posted by Drexel28 Whoah, overusage of fancy letters. What is the tensor product? Just the usual product measure? This was not my intention, I used the same the letters my book uses =) Yeah, its the usual product measure. is the -algebra generate by , where and are -algebras on and recpectively.
View Tag Cloud