8. There are several norms of practical importance on the vector space of ordered n- tuples of numbers, notably those defined by ||| = |51|+ |62| + ... + I6n| Page 12 |F, = (16." + |62l" +...+ 6.")"" || = max{|$1],.., E}. %3D (1

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8. There are several norms of practical importance on the vector space of ordered n-
tuples of numbers, notably those defined by
||x||1 = |&1| + |$2|+...+ |En|
Page 12
1/p
||, = (161/" + \&2lP + ...+|
+ I6.P)" (1<p< +ox)
||r|. = max{|£1|,...,|&,]}.
Transcribed Image Text:8. There are several norms of practical importance on the vector space of ordered n- tuples of numbers, notably those defined by ||x||1 = |&1| + |$2|+...+ |En| Page 12 1/p ||, = (161/" + \&2lP + ...+| + I6.P)" (1<p< +ox) ||r|. = max{|£1|,...,|&,]}.
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