Domination and Ergodicity for Positive Semigroups

DOI10.2307/2159399zbMath0788.47032OpenAlexW4253499581MaRDI QIDQ3987615

Wolfgang Arendt, Charles J. K. Batty

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159399

zbMATH Keywords

ergodicitypositive semigroupsalmost periodicity

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Positive linear operators and order-bounded operators (47B65) Proceedings, conferences, collections, etc. pertaining to operator theory (47-06)

Related Items (13)

Eventual domination for linear evolution equations ⋮ Asymptotic behavior of Lotz-Räbiger and martingale nets ⋮ Diffusion with nonlocal Robin boundary conditions ⋮ Stability and almost periodicity of asymptotically dominated semigroups of positive operators ⋮ Existence of invariant densities and time asymptotics of conservative linear kinetic equations on the torus without spectral gaps ⋮ The Dirichlet-to-Neumann operator on exterior domains ⋮ Eigenvalue Problems for a Cooperative System with a Large Parameter ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions ⋮ Long-term analysis of positive operator semigroups via asymptotic domination ⋮ Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras ⋮ Stability and ergodicity of dominated semigroups. II: The strong case ⋮ Semilinear elliptic equations on rough domains ⋮ Stability and ergodicity of dominated semigroups. I: The uniform case

Cites Work

• Positive one-parameter semigroups on ordered Banach spaces
• A spectral criterion for the almost periodicity of one-parameter semigroups
• Ergodic theorems. With a supplement by Antoine Brunel
• Stability of Individual Elements Under One-Parameter Semigroups
• Asymptotic stability of linear differential equations in Banach spaces
• Tauberian Theorems and Stability of One-Parameter Semigroups
• Vector-Valued Tauberian Theorems and Asymptotic Behavior of Linear Volterra Equations
• Unnamed Item

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