Estimations of the operator resolvent by higher order Cesàro means

DOI10.1007/s00025-016-0533-zzbMath1394.47007OpenAlexW2337702566MaRDI QIDQ287310

Laurian Suciu

Publication date: 26 May 2016

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0533-z

zbMATH Keywords

Cesàro meanKreiss bounded operatorresolvent growthstrong (or uniform) convergence

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) Ergodic theorems, spectral theory, Markov operators (37A30) Cyclic vectors, hypercyclic and chaotic operators (47A16) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

Growth orders and ergodicity for absolutely Cesàro bounded operators, Resolvent conditions and growth of powers of operators

Cites Work

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• Ergodic theorems. With a supplement by Antoine Brunel
• On power bounded operators
• On a conjecture by LeVeque and Trefethen related to the Kreiss matrix theorem
• Resolvent conditions and powers of operators
• Remarks on uniform ergodic theorems
• Saturation for Cesàro means of higher order
• On the (C,α) uniform ergodic theorem
• On the (C,α) Cesàro bounded operators
• DOUBLY ABEL BOUNDED OPERATORS WITH SINGLE SPECTRUM
• Uniform Abel–Kreiss boundedness and the extremal behaviour of the Volterra operator
• Remarks on Ergodic Theorems