Corrigendum to “On the spectral bound of the generator of a -semigroup” (Studia Math. 125 (1997), 23-33)
Yuri Tomilov (1999)
Studia Mathematica
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Some statements of the paper [4] are corrected.
Yuri Tomilov (1999)
Studia Mathematica
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Some statements of the paper [4] are corrected.
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A characterization of exponentially dichotomic and exponentially stable -semigroups in terms of solutions of an operator equation of Lyapunov type is presented. As a corollary a new and shorter proof of van Neerven’s recent characterization of exponential stability in terms of boundedness of convolutions of a semigroup with almost periodic functions is given.
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