On Normed Vector Spaces
Definition: A bilinear form on a normed vector space is bounded, if there is a constant C such that for all u, v ∈ V
Definition: A bilinear form on a normed vector space is elliptic, or coercive, if there is a constant c > 0 such that for all u ∈ V
Read more about this topic: Bilinear Form
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“Though there were numerous vessels at this great distance in the horizon on every side, yet the vast spaces between them, like the spaces between the stars,—far as they were distant from us, so were they from one another,—nay, some were twice as far from each other as from us,—impressed us with a sense of the immensity of the ocean, the “unfruitful ocean,” as it has been called, and we could see what proportion man and his works bear to the globe.”
—Henry David Thoreau (1817–1862)