2019
Том 71
№ 9

All Issues

Markin M. V.

Articles: 1
Article (English)

On scalar-type spectral operators and Carleman ultradifferentiable C0-semigroups

Markin M. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2008. - 60, № 9. - pp. 1215 – 1233

Necessary 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.