Strongly positive bilinear form

Short description: Functional analysis form

A bilinear form, a(•,•) whose arguments are elements of normed vector space V is a strongly positive bilinear form if and only if there exists a constant, c>0, such that

[math]\displaystyle{ a(u,u) \geq c \cdot \|u\|^2 }[/math]

for all [math]\displaystyle{ u\in V }[/math] where [math]\displaystyle{ \|\cdot\| }[/math] is the norm on V.

References

• AMS 108 p.120