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An example concerning the nonlinear pointwise ergodic theorem

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Publication:1098080
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DOI10.1007/BF02785676zbMath0636.47016MaRDI QIDQ1098080

Ulrich Krengel

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

invariant measureMarkov operatorpointwise ergodic theoremnonlinear oprator


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) Linear operators on function spaces (general) (47B38) Measure-theoretic ergodic theory (28D99)


Related Items (4)

Order preserving nonexpansive operators in \(L_ 1\) ⋮ Hopf's ergodic theorem for nonlinear operators ⋮ Nonlinear random ergodic theorems for affine operators ⋮ Asymptotic behaviour of quasi-autonomous dissipative systems in Hilbert spaces



Cites Work

  • Ergodic theorems. With a supplement by Antoine Brunel
  • Order preserving nonexpansive operators in \(L_ 1\)
  • A Pointwise Ergodic Theorem in Lp-Spaces
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