Definition:Strongly Positive Quadratic Functional
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Definition
Let $J\sqbrk y$ be a quadratic functional with respect to $y$, defined on normed linear space.
Suppose there exists $k\in\R_{> 0}$ such that:
- $J\sqbrk y\ge k\size {y}^2$
Then the quadratic functional $J$ is strongly positive.
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