Question: Can formula (3.11) be used to define an inner product for (a) The 1 norm ||v||1 on R2? (b) The norm ||v|| on R2?

Can formula (3.11) be used to define an inner product for
(a) The 1 norm ||v||1 on R2?
(b) The ∞ norm ||v||∞ on R2?

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