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Garoal
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Non-equivalent norms on finite dimensional vector spaces over a non-complete field
I was assuming the standard norm definition for a vector space, in a field endowed with any absolute value such as $(F, |\cdot|)$ is not complete.
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Non-equivalent norms on finite dimensional vector spaces over a non-complete field
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Non-equivalent norms on finite dimensional vector spaces over a non-complete field
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Non-equivalent norms on finite dimensional vector spaces over a non-complete field