Prove that {u,v}=0 for all v belongs to V iff u=0.
{u,v}= u*v, where u* is conjugate of u
If u=0 then {u,v} is obviously 0.
now im not sure how to prove it the other way
If {u,v}=0 then u=0
u*v=0...
Thanks in advance
Apparently you're using {u,v} to denote inner product... Anyway, if it is true that then this is true for as well, so apply now positiveness of inner product to get that it must be .