1. ## Separable

Prove that $l2$ and $H inf$ are separable.
Hints: Consider finitely nonzero sequences of the form (r1,r2,...,rn,0,0,...,0), where each rk is rational.

Thanks

2. I think this will help: Show that l2 space separable

3. Thanks CSM, I got it. What about the H infinite part? Can you give me a hint?
Thanks.

Originally Posted by CSM
I think this will help: Show that l2 space separable

4. Will this help (from the part "How is a H separable") :
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