Abstract and Applied Analysis
Volume 2004 (2004), Issue 12, Pages 1007-1018
doi:10.1155/S1085337504403054
A characterization of the generators of analytic C0-semigroups in the class of scalar type spectral operators
Marat V. Markin
Department of Partial Differential Equations, Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivska Street, Kiev 01601, Ukraine
Abstract
In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic C0-semigroups in terms of the analytic vectors of the operators is found.