Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices

DOI10.1007/s11856-007-0091-xzbMath1142.40002OpenAlexW2020642794MaRDI QIDQ926401

Yuan-Chuan Li, Ryotaro Sato, Sen-Yen Shaw

Publication date: 27 May 2008

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-007-0091-x

zbMATH Keywords

Banach latticesergodic theoremsCesaro meansAbel meansTauberian Theorems

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Integration with respect to measures and other set functions (28A25) Banach lattices (46B42) Vector-valued measures and integration (46G10) Abel, Borel and power series methods (40G10) Tauberian theorems (40E05)

Related Items (10)

Growth order and stability of semigroups and cosine operator functions ⋮ Strong and uniform mean stability of cosine and sine operator functions ⋮ Growth order and stability of discrete semigroups ⋮ Uniform families of ergodic operator nets ⋮ Ratio Tauberian theorems for positive functions and sequences in Banach lattices ⋮ Growth and uniqueness related to complex differential and difference equations ⋮ Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences ⋮ Invariant means on bounded vector-valued functions ⋮ Strong and absolute almost-convergence of vector functions and related Tauberian theorems ⋮ Quantum diffusion with drift and the Einstein relation. I

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