On the Punctual and Local Ergodic Theorem for Nonpositive Power Bounded Operators in L p C [ 0, 1 ], 1 < p < + &#8734

DOI10.2307/2046172zbMath0593.47008OpenAlexW4245886658MaRDI QIDQ3723144

Idris Assani

Publication date: 1986

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2046172

zbMATH Keywords

bounded operatorsone parameter semigrouppointwise and local ergodic theorems fail in general for powerpointwise and local ergodic theorems fail in general for power bounded operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Ergodic theory of linear operators (47A35)

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Dominated and pointwise ergodic theorems with ``weighted averages for bounded Lamperti representations of amenable groups ⋮ Doubly power-bounded operators on \(L^{p}\), \(2\neq p > 1\)

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