Ratio Tauberian theorems for positive functions and sequences in Banach lattices

DOI10.1007/S11117-007-2085-7zbMath1127.40003OpenAlexW1999356415MaRDI QIDQ2454888

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

Publication date: 22 October 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-007-2085-7

zbMATH Keywords

Abel limitCesàro limitratio limit theoremratio Tauberian theoremgeneralized Tauberian theorem

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) Tauberian theorems (40E05)

Related Items (3)

Random time change and related evolution equations. Time asymptotic behavior ⋮ Ratio limit theorems and Tauberian theorems for vector-valued functions and sequences ⋮ On fractional heat equation

Cites Work

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• Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices
• Mean-bounded operators and mean ergodic theorems
• Ergodic theorems. With a supplement by Antoine Brunel
• Ratio limit theorems and applications to ergodic theory
• Ergodic Theorems of Weak Mixing Type
• Ergodic theorems for operator sequences

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