On \(w^ *\)-continuous cosine operator functions

DOI10.1016/0022-1236(86)90082-0zbMath0611.47037OpenAlexW1997903518MaRDI QIDQ1087817

Sen-Yen Shaw

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90082-0

zbMATH Keywords

ergodic theoryuniformly ergodicdual theorystrongly ergodicstrongly continuous cosine operator functionGrothendieck space with the Dunford- Pettis propertyinfinitesimal comparison

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Groups and semigroups of linear operators (47D03) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items

Perturbation and comparison of cosine operator functions, Mean ergodic theorems and linear functional equations, Semigroups of operators, cosine operator functions, and linear differential equations, Convergence rates of regularized approximation processes.

Cites Work

• Ergodic theorems for semigroups of operators on a Grothendieck space
• On the measurability and continuity properties of the cosine operator
• Perturbations of flows on Banach spaces and operator algebras
• Convergence rates of ergodic limits for semigroups and cosine functions
• Ergodic properties of operator semigroups in general weak topologies
• Ordinary differential equations in linear topological space. II
• Cosine families and abstract nonlinear second order differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item