Bilinear Form - On Normed Vector Spaces

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, vV

Definition: A bilinear form on a normed vector space is elliptic, or coercive, if there is a constant c > 0 such that for all uV

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    When I consider the short duration of my life, swallowed up in the eternity before and after, the little space which I fill and even can see, engulfed in the infinite immensity of spaces of which I am ignorant and which know me not, I am frightened and am astonished at being here rather than there. For there is no reason why here rather than there, why now rather than then.
    Blaise Pascal (1623–1662)