# Under what conditions does equality hold in the Schwartz inequality?

1. Oct 12, 2011

### Jamin2112

1. The problem statement, all variables and given/known data

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