Suppose we have a sequence in a Hilbert Space, which converges weakly to some limit, and it has a subsequence which converges strongly to that same limit. Does this imply the sequence is strongly convergent? I would appreciate if someone could show me a proof / counterexample. Thank you :)
2026-02-23 17:40:28.1771868428
Weakly convergent sequence with a strongly convergence subsequence
825 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in HILBERT-SPACES
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