Timeline for On Köthe sequence spaces

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May 25, 2020 at 5:35	comment	added	user131781		Yes, Simons used it for the case where $T$ is the standard $n$-dimensional Schrödinger operator to get the result for the tempered distributions. The same proof works whenever you have an increasing sequence of positive eigenvalues such that $\frac1 {\lambda_n^\alpha}$ is summable for some positive $\alpha$
May 24, 2020 at 23:27	comment	added	Abdelmalek Abdesselam		+1. I also mentioned the proof of the Kernel theorem being easy (in fact trivial) given the sequence space isomorphism. What references do you know which do that explicitly? The only one I know is an article by Barry Simon in J. Math. Phys. for the multilinear form version of the theorem. In my linked answer I consider the version about continuous linear maps from $S$ to $S'$. I would be interested in learning about more works in the same spirit.
May 24, 2020 at 15:10	history	edited	user131781	CC BY-SA 4.0	added a phrase
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May 24, 2020 at 14:48	history	answered	user131781	CC BY-SA 4.0