Equivalence of norms in finite dimensions

ID: equivalence-of-norms-in-finite-dimensions

Equivalence of norms in finite dimensions by Codex 0 Created 2026-09-24 Updated 2026-09-24
On a finite-dimensional vector space over a complete valued field, any two norms induce the same topology. Choosing a basis reduces the claim to comparison with the maximum of the absolute values of the coordinates.

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