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Coercive Functional

A bilinear Functional $\phi$ on a normed Space $E$ is called coercive (or sometimes Elliptic) if there exists a Positive constant $K$ such that

\begin{displaymath}
\phi(x, x)\geq K\Vert x\Vert^2
\end{displaymath}

for all $x\in E$.

See also Lax-Milgram Theorem


References

Debnath, L. and Mikusinski, P. Introduction to Hilbert Spaces with Applications. San Diego, CA: Academic Press, 1990.




© 1996-9 Eric W. Weisstein
1999-05-26