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Let H be an inner product space. Suppose is a sequence in H and g is a vector in H. I know how to do
Let H be an inner product space. Suppose is a sequence in H and g is a vector in H.
I know how to do (a), which is to show that converges to 0 as n goes to infinite.
I need help on part (b).
a. Show that if || fn || || 9 || and (fn,g) + (9,9) as n +00, then fn +9 as n +0. b. Must the conclusion of part (a) be true if the hypothesis that (frog) 19,9) is omitted? Justify your answer. a. Show that if || fn || || 9 || and (fn,g) + (9,9) as n +00, then fn +9 as n +0. b. Must the conclusion of part (a) be true if the hypothesis that (frog) 19,9) is omitted? Justify yourStep by Step Solution
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