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Jun 6, 2022 at 3:12 comment added Yemon Choi The votes to close may have come because of ambiguity in the notation: by L($\ell^2$) do you mean all linear maps from $\ell^2\to \ell^2$, or just the bounded ones? In the latter case, your question has an immediate positive answer, so I assume you meant to merely assume D is well-defined as a linear map (in which case Danil Skurudin's argument suffices)
Jun 3, 2022 at 7:58 vote accept Matthias
Jun 3, 2022 at 7:45 history closed Bill Johnson
Nik Weaver
LSpice
Jochen Wengenroth
Jochen Glueck
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Jun 3, 2022 at 0:50 review Close votes
Jun 3, 2022 at 7:48
Jun 2, 2022 at 23:29 answer added Donich timeline score: 4
Jun 2, 2022 at 23:07 history edited Matthias CC BY-SA 4.0
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S Jun 2, 2022 at 23:02 review First questions
Jun 2, 2022 at 23:40
S Jun 2, 2022 at 23:02 history asked Matthias CC BY-SA 4.0