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4 votes

When sequentially continuous linear functional is continuous?

One can use the theory of Silva spaces as proposed in janacek's answer. However, I think that things are easier, here. Let $E$ be any reflexive Frechet space (in our situation, $E=C^\infty(X)$ which i …
Jochen Wengenroth's user avatar
3 votes

Generalized functions on a product of two manifolds

$T$ is indeed a topological isomorphism. Indepently of the concrete situation, this can be shown by a suitable version of the closed graph theorem, e.g. the one of de Wilde: the domain has to be ultra …
Jochen Wengenroth's user avatar