## Abstract and Applied Analysis

### A characterization of the generators of analytic $C_0$-semigroups in the class of scalar type spectral operators

Marat V. Markin

#### Abstract

In the class of scalar type spectral operators in a complex Banach space, a characterization of the generators of analytic $C_0$-semigroups in terms of the analytic vectors of the operators is found.

#### Article information

Source
Abstr. Appl. Anal., Volume 2004, Number 12 (2004), 1007-1018.

Dates
First available in Project Euclid: 30 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1104418125

Digital Object Identifier
doi:10.1155/S1085337504403054

Mathematical Reviews number (MathSciNet)
MR2130204

Zentralblatt MATH identifier
1082.47030

Subjects
Primary: 47B40: Spectral operators, decomposable operators, well-bounded operators, etc. 47D03
Secondary: 47B15 34G10

#### Citation

Markin, Marat V. A characterization of the generators of analytic $C_0$-semigroups in the class of scalar type spectral operators. Abstr. Appl. Anal. 2004 (2004), no. 12, 1007--1018. doi:10.1155/S1085337504403054. https://projecteuclid.org/euclid.aaa/1104418125