On Nörlund summation and ergodic theory, with applications to power series of Hilbert contractions

DOI10.4064/ba8121-12-2017zbMath1502.47013arXiv1707.00104OpenAlexW2962888091MaRDI QIDQ4634613

Christophe Cuny, Michel J. G. Weber

Publication date: 10 April 2018

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00104

zbMATH Keywords

Nörlund matrixweighted ergodic theorempower series of contractions

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• Almost everywhere convergence of powers of some positive \(L_p\) contractions
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• Nörlund matrices as bounded operators on \(\ell_ p\)
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• Breaking the duality in the return times theorem
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• Almost everywhere convergence of generalized ergodic transforms for invertible power-bounded operators in L^p
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• POINTWISE ERGODIC THEOREMS WITH RATE WITH APPLICATIONS TO LIMIT THEOREMS FOR STATIONARY PROCESSES
• Improved Range in the Return Times Theorem
• Nörlund Operators On l_p
• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
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• On convergence of power series of $L_p$ contractions
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• Fractional Poisson equations and ergodic theorems for fractional coboundaries
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