Prove Schwarz's for complex numbers: (x,y)^2 <= |x|^2 |y|^2
Under what conditions does equality hold?
Hint:
| lx + my |^2 = l^2 (x,x) + 2lm (x,y) + m^2 (y,y)
is positive definite wrt l and m
The hint is really confusing me...
Prove Schwarz's for complex numbers: (x,y)^2 <= |x|^2 |y|^2
Under what conditions does equality hold?
Hint:
| lx + my |^2 = l^2 (x,x) + 2lm (x,y) + m^2 (y,y)
is positive definite wrt l and m
The hint is really confusing me...