On scalar-type spectral operators and Carleman ultradifferentiable <i>C</i><sub>0</sub>-semigroups
AbstractNecessary and sufficient conditions for a scalar-type spectral operator in a Banach space to be a generator of a Carleman ultradifferentiable C0-semigroup are found. The conditions are formulated exclusively in terms of the spectrum of the operator.
How to Cite
Markin, M. V. “On Scalar-Type Spectral Operators and Carleman Ultradifferentiable <i>C</i><sub>0</Sub>-Semigroups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, no. 9, Sept. 2008, pp. 1215 -, https://umj.imath.kiev.ua/index.php/umj/article/view/3238.