I searched for a proof of the statement in the title and found this document. But it just proves that for two norms ## \rho(x) ## and ## ||x|| ##, we have ## m\rho(x)\leq ||x|| \leq M \rho(x) ## for some m and M. But how does it imply that the two norms are equivalent?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

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# A For finite dimension vector spaces, all norms are equivalent

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