An ergodic measure preserving transformation T has discrete spectrum. How can I show that there is a sequence ${n_k}$ of integers such that $||{T^{n_k}f-f}||_2$ goes to zero?
Any hint or answer would be appreciated.
An ergodic measure preserving transformation T has discrete spectrum. How can I show that there is a sequence ${n_k}$ of integers such that $||{T^{n_k}f-f}||_2$ goes to zero?
Any hint or answer would be appreciated.
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