On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable -semigroups.

Markin, Marat V.

Displaying similar documents to “On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable $C_{0}$ -semigroups.”

A note on the spectral operators of scalar type and semigroups of bounded linear operators.

Markin, Marat V. (2002)

International Journal of Mathematics and Mathematical Sciences

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A characterization of the generators of analytic $C_{0}$ -semigroups in the class of scalar type spectral operators.

Markin, Marat V. (2004)

Abstract and Applied Analysis

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Closed semistable operators and singular differential equations

Jaromír J. Koliha, Trung Dinh Tran (2003)

Czechoslovak Mathematical Journal

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We study a class of closed linear operators on a Banach space whose nonzero spectrum lies in the open left half plane, and for which $0$ is at most a simple pole of the operator resolvent. Our spectral theory based methods enable us to give a simple proof of the characterization of $C_{0}$ -semigroups of bounded linear operators with asynchronous exponential growth, and recover results of Thieme, Webb and van Neerven. The results are applied to the study of the asymptotic behavior of the solutions...