Question: Let C = C[0, 1]. Find a Mobius transformation f: C C that sends the circle C to itself but has f(1/2) = 0.

Let C = C[0, 1]. Find a Mobius transformation f: C C

 

Let C = C[0, 1]. Find a Mobius transformation f: C C that sends the circle C to itself but has f(1/2) = 0.

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