On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable C 0 -semigroups

Marat V. Markin

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-22

Abstract:

Necessary and sufficient conditions for a scalar type spectral operator in a Banach space to be a generator of an infinite differentiable or a Gevrey ultradifferentiable C 0 -semigroup are found, the latter formulated exclusively in terms of the operator's spectrum.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:138752

DOI: 10.1155/S0161171204311105

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