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Math Help - Separable

  1. #1
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    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
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  2. #2
    CSM
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    I think this will help: Show that l2 space separable
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  3. #3
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    Thanks CSM, I got it. What about the H infinite part? Can you give me a hint?
    Thanks.

    Quote Originally Posted by CSM View Post
    I think this will help: Show that l2 space separable
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  4. #4
    CSM
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    Will this help (from the part "How is a H separable") :
    Physics Forums - View Single Post - Hilbert Space,Dirac Notation,and some other stuff
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