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On Liu's analyticity criterion for semigroups

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Abstract

A contraction version of Liu's recent analyticity criterion for semigroups is given a very simple proof based on the exponential formula.

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References

  1. Hille E. and R. S. Phillips,Functional Analysis and Semigroups, Amer. Math. Soc. Colloq. Publ., Vol. 31, Amer. Math. Soc., Providence, R.I., 1957.

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  2. Liu, Y.,An equivalent condition for analytic C 0-semigroups, J. Math. Anal. Appl.180 (1993), 71–78.

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Authors and Affiliations

  1. Department of Mathematics, Bar Ilan University, Ramat-Gan, Israel

    Shmuel Kantorovitz

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  1. Shmuel Kantorovitz
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Communicated by J. A. Goldstein

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Kantorovitz, S. On Liu's analyticity criterion for semigroups. Semigroup Forum 53, 262–265 (1996). https://doi.org/10.1007/BF02574140

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  • DOI: https://doi.org/10.1007/BF02574140

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