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

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

2011-02-24

arxiv.org/abs/1102.5026v2

Mathematics

Functional Analysis

1 page, 1 figure. Proof simplified thanks to the referee

Scientific paper

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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