Let p ≥ 1 and lp be the set of all sequences x = (x1, x2, · · ·) of real numbers suchthatkxkp =Xi|xi|p1/pShow that lp with p 6= 2 is not an inner product space. Question 3. Let p21 and P be the set...

Let p ≥ 1 and l
p be the set of all sequences x = (x1, x2, · · ·) of real numbers such
that
kxkp =
X
i
|xi
|
p
1/p
<>
Show that l
p with p 6= 2 is not an inner product space.

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