O problema de tip Hahn-Banach 1

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O problema de tip Hahn-Banach 1

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Fie \( E \) un spatiu vectorial normat si \( x_{0}\in E \) astfel incat \( x_{0}\neq 0 \). Atunci exista \( f\in E^{*} \) astfel incat \( f(x_{0})=1 \).
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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