Operators with an ergodic power
Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)
Studia Mathematica
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We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.
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Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)
Studia Mathematica
Similarity:
We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.
Idris Assani, Zoltán Buczolich, Daniel R. Mauldin (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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If is a sequence of real numbers which is good for the ergodic theorem, is the sequence of the integer parts good for the ergodic theorem ? The answer is negative for the mean ergodic theorem and affirmative for the pointwise ergodic theorem.