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On the boundary spectrum of dominated \(C_ 0\)-semigroups - MaRDI portal

On the boundary spectrum of dominated \(C_ 0\)-semigroups (Q1262520)

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scientific article; zbMATH DE number 4124442
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English
On the boundary spectrum of dominated \(C_ 0\)-semigroups
scientific article; zbMATH DE number 4124442

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    On the boundary spectrum of dominated \(C_ 0\)-semigroups (English)
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    1989
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    Given two one-parameter semigroups S(t) and T(t) in a Banach lattice E the author discusses the relation between dominance, i.e. \[ | S(t)f| \leq T(f)| f|,\quad f\in E,\quad t\geq 0, \] and the boundary spectrum of the respective generators A and B.
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    one-parameter semigroups
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    Banach lattice
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    dominance
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    boundary spectrum
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