Bounded bilinear form
= Bounded bilinear form
{wiki=Bilinear_form#Bounded_bilinear_forms}
A bilinear form $B:X\times X\to\mathbb R$ on a <normed vector space> is bounded when some $C<\infty$ satisfies $|B(u,v)|\leq C\lVert u\rVert\lVert v\rVert$ for all $u,v\in X$.