Prove that $\displaystyle l2 $ and $\displaystyle H inf$ are separable.

Hints: Consider finitely nonzero sequences of the form (r1,r2,...,rn,0,0,...,0), where each rk is rational.

Thanks(Nod)

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- Oct 14th 2010, 01:02 PMstudent2010Separable
Prove that $\displaystyle l2 $ and $\displaystyle H inf$ are separable.

Hints: Consider finitely nonzero sequences of the form (r1,r2,...,rn,0,0,...,0), where each rk is rational.

Thanks(Nod) - Oct 14th 2010, 01:13 PMCSM
I think this will help: Show that l2 space separable

- Oct 14th 2010, 01:26 PMstudent2010
- Oct 16th 2010, 05:51 AMCSM
Will this help (from the part "How is a H separable") :

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