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Entire vectors and time reversible Cauchy problems

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Abstract

Our major aim in this paper is to show the algebraic and topological equivalence between the set of all entire vectors ε(A) for a linear operatorA and the solution space of the corresponding abstract Cauchy problem, when—A is the generator of a strongly continuous holomorphic semigroup.

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Communicated by J.A. Goldstein

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Autret, L. Entire vectors and time reversible Cauchy problems. Semigroup Forum 46, 347–351 (1993). https://doi.org/10.1007/BF02573577

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  • DOI: https://doi.org/10.1007/BF02573577

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