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Oct 7, 2015 at 12:04 comment added Jochen Wengenroth The inductive tensor product apparently did not find many applications. I only know Grothendieck's "these" as a reference.
Oct 7, 2015 at 9:11 comment added J.L.R. Yes, that makes perfect sense, thank you very much! Would you happen to be able to recommend any literature on the construction of the inductive tensor product?
Oct 7, 2015 at 6:29 comment added Jochen Wengenroth See the edit to my answer. For any non-normed locally convex space $F$ the evalution $F'_\beta \times F \to \mathbb C$, $(\phi,x)\mapsto \phi(x)$ is separately continuous but discontinuous. This shows that the inductive tensor product $F'_\beta \otimes_\iota F$ (defined by the universal property, that all separately continuous bilinear maps factorize continuously) has a much finer topology than the projective tensor product.
Oct 6, 2015 at 22:52 history edited J.L.R. CC BY-SA 3.0
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Oct 6, 2015 at 22:31 comment added J.L.R. Nah, I got it working now, I am fine, but thank you for the suggestion.
Oct 6, 2015 at 22:30 comment added Suvrit You could try requesting the moderators to merge the accounts --- please visit MO.meta e.g., meta.mathoverflow.net/search?q=merge to figure out how!
Oct 6, 2015 at 22:21 comment added J.L.R. Yes, sorry for that. The registration process was a little confusing to me.
Oct 6, 2015 at 22:19 comment added André Henriques J.L.R: you seem to have created two different accounts. One for the question, and one for the answer... (you can see that the icons next to "J.L.R" are different).
Oct 6, 2015 at 22:17 history edited J.L.R. CC BY-SA 3.0
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Oct 6, 2015 at 22:10 history edited J.L.R. CC BY-SA 3.0
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Oct 6, 2015 at 21:58 review First posts
Oct 6, 2015 at 21:59
Oct 6, 2015 at 21:55 history answered J.L.R. CC BY-SA 3.0