a norm [tex] ||\cdot||_{1} [/tex] is said to be stronger than [tex] ||\cdot||_{2} [/tex] if there exists some constant k such that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]||\cdot||_{1} \geq k||\cdot||_{2} [/tex]

Can someone explain the deeper meaning of this? I know that in general, a norm with smaller value will produce a larger unit ball. Is that the extent of the meaning?

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# On comparing norms in a linear space

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