Let $ F \in D '$ have a compact support, $ F(\varphi)\geq0$ for any $\varphi \geq0$. How can i prove that $F(\varphi) = \int \! \varphi \, \mathrm{d}\mu$ for some non-negative measure $ \mu $?
2026-02-23 10:14:59.1771841699
A problem with Lebesgue integral in functional analysis
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