A van der Corput-type lemma for power bounded operators

DOI10.1007/s00209-016-1701-2zbMath1370.47010OpenAlexW2419416707WikidataQ124860325 ScholiaQ124860325MaRDI QIDQ509987

A. F. M. ter Elst, Vladimír Müller

Publication date: 16 February 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-016-1701-2

zbMATH Keywords

mean ergodic theorempower bounded operatorbounded semigroup of operatorspolynomial Cesàro averages

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35)

Related Items (3)

Van der Corput's difference theorem: some modern developments ⋮ Power bounded operators and the mean ergodic theorem for subsequences ⋮ Wiener's lemma along primes and other subsequences

Cites Work

• On the limits of Cesàro means of polynomial powers
• Ergodic theorems. With a supplement by Antoine Brunel
• Unimodular eigenvalues and weak mixing
• From discrete- to continuous-time ergodic theorems
• One-Parameter Semigroups for Linear Evolution Equations
• Modulated and subsequential ergodic theorems in Hilbert and Banach spaces
• Generalized Summing Sequences and the Mean Ergodic Theorem
• Ergodic Theory

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