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A remark on exponentially bounded C-semigroups - MaRDI portal

A remark on exponentially bounded C-semigroups (Q807962)

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scientific article; zbMATH DE number 4208896
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A remark on exponentially bounded C-semigroups
scientific article; zbMATH DE number 4208896

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    A remark on exponentially bounded C-semigroups (English)
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    1990
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    The main purpose of this note is to prove the equivalence of two statements. (1) A is the generator of a special type of semigroup on a Banach space X. (2) A satisfies certain properties on sets included in X. Applications are given in representation theory, in the generation of semigroups and on the abstract Cauchy problem.
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    representation theory
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    generation of semigroups
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    abstract Cauchy problem
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