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15
votes
2
answers
801
views
Are extensions of nuclear Fréchet spaces nuclear?
Consider the category of Fréchet spaces, the morphisms being
continuous linear maps with closed image. Suppose that we
have a short exact sequence in that category:
$0 \rightarrow V_1 \rightarrow V_ …
2
votes
Are extensions of nuclear Fréchet spaces nuclear?
Thank you for the hint, Yemon. You are indeed right. I found the following paper which proves the lifting property that you mentioned: emis.de/journals/PM/55f1/pm55f107.ps.gz The splitting follows fro …