Timeline for Given a compact set $K \subset \mathbb{R}^n$, is the space of distributions supported on $K$ the dual of some test function space?

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May 6, 2023 at 8:29	history	edited	memorial	CC BY-SA 4.0	added material to remove misunderstanding
May 4, 2023 at 7:51	comment	added	Jochen Wengenroth		To call the inductive system $X_\varepsilon=C^\infty({]}-\varepsilon,\varepsilon{[}$ increaing (if $\varepsilon$ decreases to $0$) is quite dangerous -- the restriction operators $X_\varepsilon\to X_\delta$ are not injective. The space $\mathscr E'(\{0\})$ is countable dimensional -- a predual must then be isomorphic to the Fréchet space $\mathbb C^{\mathbb N}$ of all sequences.
Apr 29, 2023 at 6:55	history	edited	memorial	CC BY-SA 4.0	added 1 character in body
Apr 29, 2023 at 6:47	history	edited	memorial	CC BY-SA 4.0	added 4 characters in body
Apr 29, 2023 at 6:39	history	edited	memorial	CC BY-SA 4.0	added 458 characters in body
Apr 29, 2023 at 6:33	history	edited	memorial	CC BY-SA 4.0	added 458 characters in body
Apr 29, 2023 at 6:24	history	edited	memorial	CC BY-SA 4.0	added 458 characters in body
Apr 29, 2023 at 6:18	history	answered	memorial	CC BY-SA 4.0