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 Post subject: Some More Functional AnalysisPosted: Wed Jul 13, 2016 6:22 pm
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Joined: Tue Nov 10, 2015 8:25 pm
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Let $\displaystyle l_{1} = \left\{ x = ( \xi_{k} )_{k\in \mathbb{N}} \subset \mathbb{R} \; \Big| \; \sum_{k=1}^{\infty} | \xi_{k} | < \infty \right\}$and let $\displaystyle c_{0} = \left\{ x = ( \xi_{k} )_{k\in \mathbb{N}} \subset \mathbb{R} \; \Big| \; \xi_{k} \rightarrow 0 \right\}$ Show that the dual space $(c_{0})^{*}$ of $c_{0}$ is isometrically isomorphic to $l_{1}$.

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