Hi. I`m working on some exercises but I could`t find any clue for this one:(adsbygoogle = window.adsbygoogle || []).push({});

Find a bounded sequence (as like the norm) in l^2 Hilbert space,that weakly converges to 0 (as like the weak topology)

but doesn`t have any convergent subsequences (as in strong topology).

Could someone help me?

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# Sequence in Hilbert space,example

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