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Apr 28 at 21:29 comment added Iosif Pinelis Do you have a response to the answer below?
Apr 25 at 19:11 history edited Iosif Pinelis CC BY-SA 4.0
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Apr 25 at 18:50 comment added David Gao This is just a very standard and basic fact in Hilbert space theory that the convergence happens in SOT and not in norm, and hardly a research-level question.
Apr 25 at 18:35 answer added Iosif Pinelis timeline score: 2
Apr 25 at 18:25 comment added Liviu Nicolaescu No. If the subspaces are finite dimensional the projecors would be compact operators and the norm limit of compact operators is a compact operator. If V is infinite dimensional the projection on V will not be compact.
S Apr 25 at 17:24 review First questions
Apr 25 at 17:37
S Apr 25 at 17:24 history asked Guest2024bis CC BY-SA 4.0