Two norms ||x||a and ||x||b on a linear space are equivalent if there are positive numbers A

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Two norms ||x||a and ||x||b on a linear space are equivalent if there are positive numbers A and B such that for all x ˆˆ X,
Two norms ||x||a and ||x||b on a linear space are

The following exercise shows that there essentially only one finite dimensional normed linear space.

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