On power-bounded operators and the pointwise ergodic property
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- by Moshe Feder PDF
- Proc. Amer. Math. Soc. 83 (1981), 349-353 Request permission
Abstract:
We construct a power-bounded isomorphism $T:{L_p} \to {L_p}$, for $1 < p \leqslant 2$, such that $\left [ {{n^{ - 1}}\sum \nolimits _{i = 0}^{n - 1} {{T^i}f} } \right ](t)$ is not a.e. convergent. ${T^{ - 1}}$ is also power-bounded.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 349-353
- MSC: Primary 47A35; Secondary 46E30
- DOI: https://doi.org/10.1090/S0002-9939-1981-0624929-2
- MathSciNet review: 624929