Stability and ergodicity of dominated semigroups. I: The uniform case (Q1320982)

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scientific article; zbMATH DE number 561284
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Stability and ergodicity of dominated semigroups. I: The uniform case
scientific article; zbMATH DE number 561284

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    Stability and ergodicity of dominated semigroups. I: The uniform case (English)
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    25 July 1994
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    If \(T\) is a positive operator on a Banach lattice, then it is a natural question which properties of \(T\) are inherited by the positive operators dominated by \(T\). In the present paper we discuss the inheritance of `asymptotic properties' like uniform ergodicity, uniform stability and uniform asymptotic periodicity for positive operators and strongly continuous semigroups of positive operators.
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    asymptotic properties
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    positive operator on a Banach lattice
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    inheritance
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    uniform ergodicity
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    uniform stability
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    uniform asymptotic periodicity
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    strongly continuous semigroups of positive operators
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