An abstract ergodic theorem and some inequalities for operators on Banach spaces

DOI10.1090/S0002-9939-97-03504-1zbMath0860.47005OpenAlexW1588318493MaRDI QIDQ5690921

Yuan-Chuan Li, Sen-Yen Shaw

Publication date: 9 January 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03504-1

zbMATH Keywords

orthogonalityhyponormal operatornormal operatorabstract mean ergodic theorem\(m\)-dissipative operatorhermitian operatorstrictly \(c\)-convex space

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear accretive operators, dissipative operators, etc. (47B44)

Cites Work

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• Mean ergodic theorems and linear functional equations
• Ergodic theorems. With a supplement by Antoine Brunel
• A commutativity theorem for hermitian operators
• Complex strict and uniform convexity and hyponormal operators
• Normal operators on Banach spaces
• Some ergodic theorems
• Uniform Convergence of Ergodic Limits and Approximate Solutions
• Commutators and normal operators
• Numerical ranges of derivations
• On proper boundary points of the spectrum and complemented eigenspaces.
• On the Boundary of the Spatial Numerical Range
• On Normal Derivations
• Abstract Ergodic Theorems and Weak Almost Periodic Functions

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