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arXiv · 1102.5026

Norms as a function of p are linearly independent in finite dimensions

Greg Kuperberg
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Abstract

We show that there are no non-trivial linear dependencies among p-norms of vectors in finite dimensions that hold for all p. The proof is by complex analytic continuation.

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Greg Kuperberg. 2011-02-24. Norms as a function of p are linearly independent in finite dimensions. https://arxiv.org/abs/1102.5026

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