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A direct approach to the Weiss conjecture for bounded analytic semigroups. (English) Zbl 1220.47058
Summary: We give a new proof of the Weiss conjecture for analytic semigroups. Our approach does not take any recourse to the bounded $$H^{\infty}$$-calculus and is based solely on elementary analysis.

##### MSC:
 47D06 One-parameter semigroups and linear evolution equations 34K35 Control problems for functional-differential equations 35Q93 PDEs in connection with control and optimization 93B36 $$H^\infty$$-control
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