Growth order and stability of discrete semigroups

DOI10.1016/j.na.2009.06.109zbMath1239.40008OpenAlexW2058879758MaRDI QIDQ425917

Jeng-Chung Chen, Sen-Yen Shaw

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.06.109

zbMATH Keywords

stabilityuniform boundednessAbel meangrowth orderCesàro mean

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Abel, Borel and power series methods (40G10) Tauberian theorems (40E05)

Related Items (2)

The convergence of Abel averages and application to ordered Banach algebras ⋮ Resolvent conditions and growth of powers of operators

Cites Work

• Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices
• On power bounded operators
• Resolvent conditions and powers of operators
• Boundedness and growth orders of means of discrete and continuous semigroups of operators
• ON A TAUBERIAN CONDITION FOR BOUNDED LINEAR OPERATORS
• A resolvent condition implying power boundedness
• POWER-BOUNDED OPERATORS AND RELATED NORM ESTIMATES

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