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!

Printable View

- Sep 8th 2011, 02:26 PMTheProphetProve measurability
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! - Sep 8th 2011, 05:26 PMDrexel28Re: Prove measurability
- Sep 8th 2011, 11:44 PMTheProphetRe: Prove measurability