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Math Help - functional analysis

  1. #1
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    functional analysis

    Prove that C[a,b] is a inner product space..

    Please help me to prove the following axioms or can anybody send me a link which includes these proofs.



    1.<f,g>=<g,h>(bar)
    2.<f,f>=0 iff f=0
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  2. #2
    Senior Member
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    Re: functional analysis

    Don't you mean 1.<f,g>=<g,f>(bar)?

    Also, these can be proven with more or less just the definitions of the inner product and following through.
    Thanks from chath
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