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Notes on the algebraic version of the Hille-Yosida-Feller-Phillips-Miyadera theorem - MaRDI portal

Notes on the algebraic version of the Hille-Yosida-Feller-Phillips-Miyadera theorem (Q2747325)

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scientific article; zbMATH DE number 1657523
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English
Notes on the algebraic version of the Hille-Yosida-Feller-Phillips-Miyadera theorem
scientific article; zbMATH DE number 1657523

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    27 October 2002
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    Hille-Yosida-Feller-Phillips-Miyadera theorem
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    strongly continuous semigroups of linear operators
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    quotient semigroups
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    translation semigroup
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    Notes on the algebraic version of the Hille-Yosida-Feller-Phillips-Miyadera theorem (English)
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    The author characterizes strongly continuous semigroups of linear operators on a Banach space \(X\) as quotient semigroups of the translation semigroup on \(L^{1}({\mathbb{R}}^{+}, X)\). This is applied to various types of semigroups.
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