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Consider fn > f 51.3. for all a: E X = (0,1) sup an||L2(X) g M for some xed M. 1. Do we know that

Consider fn > f 51.3. for all a: E X = (0,1) sup\" an||L2(X) g M for some xed M. 1. Do we know that limn_,00 Hf\" f||L2(X) : 0? 2. If limn_>00 an||L2(X) : Hf||L2(X) 00 an f||L2(X) = 0

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