Does anyone know if there is a characterization of the spaces on which the inductive tensor product and the projective tensor product are the same ? This is the same as asking every separately continuous bilinear form to be continuous. It is the case for the tensor product of Fréchet spaces for example.
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$\begingroup$ This question might be of some relevance: mathoverflow.net/questions/123879/… $\endgroup$– Jochen WengenrothCommented Jun 17, 2014 at 15:17
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1$\begingroup$ Isn't this Grothendiek definition of nuclearity? $\endgroup$– Marco FarinatiCommented May 29, 2019 at 2:16
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