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Is the list of open problems which were given by Dieudonne and Schwartz to Grothendieck for his thesis published somewhere? I know a quotation of Dieudonne that the problems concerned duality theory for general locally convex spaces.

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According to Chapter 3. From student to celebrity: 1949-1952 on Grothendieck Circle it was the 14 questions found at the end Dieudonne and Schwartz's article La dualite dans les espaces $\mathcal{F}$ et $\mathcal{LF}$ which can be found on EuDML.

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