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Under what conditions does equality hold in the Schwartz inequality?

  1. Oct 12, 2011 #1
    1. The problem statement, all variables and given/known data

    Thread title

    2. Relevant equations

    Cauchy inequality:

    [PLAIN]http://eom.springer.de/c/images/c020/c020880/c0208801.png [Broken]

    ak, bk are complex numbers

    3. The attempt at a solution


    SPOILER ALERT: I'm trying to show linear dependence on a, b. Yes, I Googled "Cauchy equality hold" and came up with that.

    [PLAIN]http://i701.photobucket.com/albums/ww13/jamin2112/screen-capture-1-35.png [Broken]


    Kinda stuck now. Any suggestions?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
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