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I know that given a bilinear form $B$ and it's corresponding quadratic form $Q$, assuming that $B$ is complex and bounded, that $\|B\| \le 2\|Q \|$

However, I've failed to manufacture an example of a bilinear form $B$ where this inequality is strict.

Help?

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    What is the definition of $||Q||$?2012-02-04

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