Question 1. Given an infinite dimensional Hilbert space construct a sequence x, So that ||x|| = 1 but (xn, y) → 0 for all y E H.

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Question 1. Given an infinite dimensional Hilbert space construct a
sequence x, so that ||x,|| = 1 but (x, y)
0 for all y E H.
Transcribed Image Text:Question 1. Given an infinite dimensional Hilbert space construct a sequence x, so that ||x,|| = 1 but (x, y) 0 for all y E H.
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