Talk:Square-integrable function
The article says, "The quadratically integrable functions form an inner product space." I'm pretty sure that isn't true! A function that differs from the zero function on a non-empty set of measure zero will have inner product zero, violating positive-definiteness. That's why you have to mod out by these functions when you define Lp spaces, right? ---Vectornaut (talk) 01:44, 29 May 2011 (UTC)