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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b4ae69e-fd9a-4b3d-9f2f-b74f33af93db%2Fe6a3746d-b82d-4db1-8351-85640de25459%2F60gwpq_processed.jpeg&w=3840&q=75)
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