Riesz Decomposition Property Implies Asymptotic Periodicity of Positive and Constrictive Operators

DOI10.2307/2159301zbMath0782.47030OpenAlexW4243102385MaRDI QIDQ4022091

Wojciech Bartoszek

Publication date: 17 January 1993

Full work available at URL: https://doi.org/10.2307/2159301

zbMATH Keywords

asymptotic periodicityasymptotically periodiclinear endomorphismgenerating, closed and proper positive coneordered \(F\)-space with a complete \(F\)-normpositive, constrictive linear operatorRiesz Decomposition Property

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Banach lattices (46B42) Linear operators on ordered spaces (47B60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Ordered topological linear spaces, vector lattices (46A40)

Related Items (1)

Almost interior points in ordered Banach spaces and the long-term behaviour of strongly positive operator semigroups

Cites Work

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• Asymptotic periodicity of the iterates of weakly constrictive Markov operators
• Asymptotic behavior of nonlinear contraction semigroups
• Asymptotic Periodicity of the Iterates of Markov Operators
• Asymptotic Periodicity of the Iterates of Positivity Preserving Operators
• Asymptotic periodicity of the iterates of positive contractions on Banach lattices

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