Definition:Bilinear Form (Functional Analysis)

Definition

Let $B$ be a bilinear functional.

Let $B$ be defined on a finite-dimensional space.

Then $B$ is a bilinear form.

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Also see

• Results about bilinear forms in the context of functional analysis can be found here.

Sources

• 1963: I.M. Gelfand and S.V. Fomin: Calculus of Variations ... (previous) ... (next): $\S 5.24$: Quadratic Functionals. The Second Variation of a Functional