1. Math
  2. Algebra
  3. 11 assume e has finite measure let fal be a...

Question: 11 assume e has finite measure let fal be a...

Question details

11. Assume E has finite measure. Let (fal be a sequence of measurable functions on E and f a measurable on E for which f and each fn is finite a.e. on E. Prove that (fl-f in measure on E if and only if every subsequence of (fa) has in turn a further subsequence that converges to f pointwise a.e. on E.
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution