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A direct approach to the Weiss conjecture for bounded analytic semigroups
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 527-539 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded $H^{\infty }$-calculus and is based on elementary analysis.
We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not make any recourse to the bounded $H^{\infty }$-calculus and is based on elementary analysis.
Classification : 34K35, 35F50, 35Q93, 47D06, 93B28, 93B36
Keywords: infinite dimensional systems; analytic semigroups; unbounded observation operator; admissibility; fractional power 
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     title = {A direct approach to the {Weiss} conjecture for bounded analytic semigroups},
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Hamid, Bounit; Adberrahim, Driouich; Omar, El-Mennaoui. A direct approach to the Weiss conjecture for bounded analytic semigroups. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 527-539. http://geodesic.mathdoc.fr/item/CMJ_2010_60_2_a17/

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