Attractors and asymptotic periodicity of positive operators on Banach lattices

DOI10.1515/form.1995.7.665zbMath0835.47023OpenAlexW2056755800MaRDI QIDQ4856980

Frank Räbiger

Publication date: 16 April 1996

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186442

zbMATH Keywords

attractorKB-spacepositive contractionweakly sequentially complete Banach latticeasymptotic periodicity of operatorsMarkov operators on \(L^ 1\)-spacesstability of one-parameter semigroups of positive operators by means of attractors

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Banach lattices (46B42) Ultraproduct techniques in Banach space theory (46B08) Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65)

Related Items (9)

Asymptotic periodicity of recurrent flows in infinite networks ⋮ Mean ergodicity of positive operators in \(KB\)-spaces ⋮ Asymptotic behavior of operator sequences on KB-spaces ⋮ Asymptotically absorbing nets of positive operators ⋮ Stability and almost periodicity of asymptotically dominated semigroups of positive operators ⋮ A condition for asymptotic finite-dimensionality of an operator semigroup ⋮ Quasi-compactness and Uniform Convergence of Markov Operator Nets on KB-spaces ⋮ A positive doubly power bounded operator with a nonpositive inverse exists on any infinite-dimensional AL-space ⋮ Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras

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