Semigroup Forum

, Volume 46, Issue 1, pp 347–351

Entire vectors and time reversible Cauchy problems

  • Laurent Autret
Research Article

DOI: 10.1007/BF02573577

Cite this article as:
Autret, L. Semigroup Forum (1993) 46: 347. doi:10.1007/BF02573577


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.

Copyright information

© Springer-Verlag New York Inc 1993

Authors and Affiliations

  • Laurent Autret
    • 1
  1. 1.Département de MathématiquesUniversité de PoitiersPoitiersFrance

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