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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

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Can $\ell_1(E)$ be embedd into the dual of continuous function space?

Let $E$ be a compact seperable space, for example $E=[0,1]\subset\mathbb{R}$. Denote by $$\ell_1(E):=\{u:=(u_x\in\mathbb{C}:x\in F):F\text{ is a countable subset of }E \text{ and } \|u\|_{\ell_1(E)}:= …
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