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Sep 8, 2022 at 16:35 comment added J. De Ro Thanks! This is splendid! This result is very useful to me :)
Sep 8, 2022 at 16:35 vote accept J. De Ro
Sep 8, 2022 at 9:37 comment added Matthew Daws Yes; I added an edit to make this clear.
Sep 8, 2022 at 9:37 history edited Matthew Daws CC BY-SA 4.0
added 60 characters in body
Sep 8, 2022 at 7:43 comment added J. De Ro So if I understand correctly: your last paragraph actually shows that we have $X\overline{\otimes}_\mathcal{F} M \cong CB(M_*,X): z \mapsto (\omega \mapsto (\iota \otimes \omega)(z))$ even if $X$ is norm-closed?
Sep 8, 2022 at 7:17 history edited Matthew Daws CC BY-SA 4.0
Add comment about norm-closed case.
Sep 8, 2022 at 6:42 history answered Matthew Daws CC BY-SA 4.0