Principle of covariance: Difference between revisions

Revision as of 22:43, 30 June 2013

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

a (u, u) \geq c \cdot ‖ u ‖^{2}

for all $u \in V$ where $‖ \cdot ‖$ is the norm on V.

References

AMS 108 p.120

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+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> a(u,u) \geq c \cdot \|u\|^2 </math>
+for all <math>u\in V</math> where <math>\|\cdot\|</math> is the norm on ''V''.
+==References==
+* ''AMS 108'' p.120
+{{mathanalysis-stub}}
+[[Category:Functional analysis]]

Principle of covariance: Difference between revisions

Revision as of 22:43, 30 June 2013

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