Abstract
A contraction version of Liu's recent analyticity criterion for semigroups is given a very simple proof based on the exponential formula.
References
Hille E. and R. S. Phillips,Functional Analysis and Semigroups, Amer. Math. Soc. Colloq. Publ., Vol. 31, Amer. Math. Soc., Providence, R.I., 1957.
Liu, Y.,An equivalent condition for analytic C 0-semigroups, J. Math. Anal. Appl.180 (1993), 71–78.
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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