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3. complex analysis let be the vector space of all the...

# Question: complex analysis let be the vector space of all the...

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COMPLEX ANALYSIS

Let be the vector space of all the continuous functions in the interval .

We define the dot product    in .

Thus, is a infinite-dimensional vector space.

Proove that , with the norm from the dot product defined above,  is a normed vector space not complete.

Thank you for the explanations.