For nonnegative and sub algebra which is not a subset of , define for all . Show that is a signed measure. i got confused here. since is not a subset of , how do i find the integral? can i integrate it only when is an element of ?
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Originally Posted by GTO For nonnegative and sub algebra which is not a subset of , define for all . Show that is a signed measure. i got confused here. since is not a subset of , how do i find the integral? can i integrate it only when is an element of ? If is not in , then what is ? is it zero or undefined?
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