Abstract and Applied Analysis
Volume 2004 (2004), Issue 12, Pages 1007-1018
A characterization of the generators of analytic -semigroups in the class of scalar type spectral operators
Department of Partial Differential Equations, Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivska Street, Kiev 01601, Ukraine
Received 30 January 2004
Copyright © 2004 Marat V. Markin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic -semigroups in terms of the analytic vectors of the operators is found.