6. Let X be the vector space of all ordered pairs r = (f1,f2), y = (m, 12); ·. of real numbers. Show that norms on X are defined by ... |3| + |'3| = '|||| ||2 = (s{ + )'/2 ||. = max{I&1l, |S2l}. %3D

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. Let X be the vector space of all ordered pairs r = (f1, €2), y = (m, 12), ·…· of real
numbers. Show that norms on X are defined by
||| = |61|+ |&2|
|||2 = (s? + 3)/2
||-. = max{|f1|, |S2]}.
%3D
Transcribed Image Text:6. Let X be the vector space of all ordered pairs r = (f1, €2), y = (m, 12), ·…· of real numbers. Show that norms on X are defined by ||| = |61|+ |&2| |||2 = (s? + 3)/2 ||-. = max{|f1|, |S2]}. %3D
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