# Separable

• Oct 14th 2010, 01:02 PM
student2010
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(Nod)
• Oct 14th 2010, 01:13 PM
CSM
I think this will help: Show that l2 space separable
• Oct 14th 2010, 01:26 PM
student2010
Thanks CSM, I got it. What about the H infinite part? Can you give me a hint?
Thanks.

Quote:

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

• Oct 16th 2010, 05:51 AM
CSM
Will this help (from the part "How is a H separable") :
Physics Forums - View Single Post - Hilbert Space,Dirac Notation,and some other stuff