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Math Help - 2-norm and infinity norm releationship

  1. #1
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    2-norm and infinity norm releationship

    I am trying to understand how the 2-norm and ∞-norm are related on vectors. Basically I have the equations
    ||x||2 ≤ a ||x||∞ and ||x||∞ ≤ b ||x||2
    and I need to determine the constants a and b that relate these two norms. Can anyone provide some insight?
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  2. #2
    Member HappyJoe's Avatar
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    Hello,

    On what space are we talking?
    l^2 ?
    \mathbb{R}^n ?
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