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Displaying similar documents to “On the operator equation $A X - X B = C$ with unbounded operators $A$ , $B$ , and $C$ .”

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A direct approach to the Weiss conjecture for bounded analytic semigroups

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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.