The asymptotic behaviour of the Cesàro operator

DOI10.1016/J.JMAA.2024.128847MaRDI QIDQ6640880

Andrew K. J. Pritchard, David Seifert

Publication date: 20 November 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceCesàro operatorgeneralised Laguerre polynomialsKatznelson-Tzafriri theoremconvergence of orbits

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx) Special methods of summability (40Gxx)

Cites Work

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• On the continuous Cesàro operator in certain function spaces
• Rates of decay in the classical Katznelson-Tzafriri theorem
• On power bounded operators
• The fine spectra of the Hölder summability operators
• The converse of Abel's theorem on power series.
• A theorem from the theory of infinite series.
• Optimal rates of decay in the Katznelson-Tzafriri theorem for operators on Hilbert spaces
• The spectral radius of averaging operators
• A quantified Tauberian theorem for sequences
• On Convex Power Series of a Conservative Markov Operator
• On The Spectrum of the Cesaro Operator
• Local spectral radius formula for operators in Banach spaces
• Iterating the Cesàro operators
• On time regularity and related conditions for power-bounded operators
• Rates of convergence for the iterates of Cesàro operators
• Some developments around the Katznelson–Tzafriri theorem
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Spectral theory of linear operators and spectral systems in Banach algebras
• A problem concerning orthogonal polynomials.

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