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

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COMPLEX ANALYSIS

Let C0,1 be the vector space of all the continuous functions in the interval 0, 1 .

We define the dot product   (f,g) = | f(t) g (t) dt in C0,1 .

Thus, C0,1 is a infinite-dimensional vector space.

Proove that , with the norm from the dot product defined above,C0,1  is a normed vector space not complete.

Thank you for the explanations.

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