Convergence of the averages and finiteness of ergodic power funtions in weighted L1 spaces.

Pedro Ortega Salvador

Displaying similar documents to “Convergence of the averages and finiteness of ergodic power funtions in weighted L1 spaces.”

Almost everywhere convergence and boundedness of Cesàro-α ergodic averages in L-spaces.

Francisco J. Martín Reyes, María Dolores Sarrión Gavilán (1999)

Publicacions Matemàtiques

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Let (X, μ) be a σ-finite measure space and let τ be an ergodic invertible measure preserving transformation. We study the a.e. convergence of the Cesàro-α ergodic averages associated with τ and the boundedness of the corresponding maximal operator in the setting of L(wdμ) spaces.

Ergodic theorems for certain power bounded operators.

Diego Gallardo (1987)

Collectanea Mathematica

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A general ratio ergodic theorem for Abel sums

Ryotaro Sato (1973)

Studia Mathematica

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Genericity of nonsingular transformations with infinite ergodic index

J. Choksi, M. Nadkarni (2000)

Colloquium Mathematicae

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It is shown that in the group of invertible measurable nonsingular transformations on a Lebesgue probability space, endowed with the coarse topology, the transformations with infinite ergodic index are generic; they actually form a dense $G_{δ}$ set. (A transformation has infinite ergodic index if all its finite Cartesian powers are ergodic.) This answers a question asked by C. Silva. A similar result was proved by U. Sachdeva in 1971, for the group of transformations preserving an infinite...