, Volume 46, Issue 1, pp 347-351

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.

Communicated by J.A. Goldstein