The generators of exponentially bounded \(C\)-semigroups and the Hille-Yosida spaces (Q674689)

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scientific article; zbMATH DE number 987513
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The generators of exponentially bounded \(C\)-semigroups and the Hille-Yosida spaces
scientific article; zbMATH DE number 987513

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    The generators of exponentially bounded \(C\)-semigroups and the Hille-Yosida spaces (English)
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    24 April 1997
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    This note is devoted to the characterization of the generators of \(C\)-semigroups. By the aid of the notion of the Hille-Yosida space, necessary and sufficient conditions for an operator \(A\) to be the generator of a \(C\)-semigroup are established.
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