SOLVED: Two different norms l-l and Il* on R^n are said to be equivalent if there exist constants c, C > 0 such that(0.1)c|v| < l|v|l* < C|v| for all v ∈ R^n(Note that the role of [.1 and | l* can be switched.) Show that the 1-norm, 2-norm, and the ∞-norm are all equivalent.
SOLVED: Two different norms l-l and Il* on R^n are said to be equivalent if there exist constants c, C > 0 such that(0.1)c|v| < l|v|l* < C|v| for all v ∈ R^n(Note that the role of [.1 and | l*
VIDEO ANSWER: For the proof we need to show that l1 norm and l2 norm are not equivalent on c equal to 0 interval close and g is the vector space of continuous …
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