About numerical range of semigroup's generator
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 1, pp. 29-32.

Voir la notice de l'article provenant de la source Math-Net.Ru

In the article the semigroup is built. The numerical range of its generator covers complex plane. It is provided that such semigroup is bounded.
@article{ISU_2012_12_1_a4,
     author = {M. Yu. Romanova},
     title = {About numerical range of semigroup's generator},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {29--32},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_1_a4/}
}
TY  - JOUR
AU  - M. Yu. Romanova
TI  - About numerical range of semigroup's generator
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2012
SP  - 29
EP  - 32
VL  - 12
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2012_12_1_a4/
LA  - ru
ID  - ISU_2012_12_1_a4
ER  - 
%0 Journal Article
%A M. Yu. Romanova
%T About numerical range of semigroup's generator
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2012
%P 29-32
%V 12
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2012_12_1_a4/
%G ru
%F ISU_2012_12_1_a4
M. Yu. Romanova. About numerical range of semigroup's generator. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 1, pp. 29-32. http://geodesic.mathdoc.fr/item/ISU_2012_12_1_a4/

[1] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972, 739 pp. | MR | Zbl

[2] Krein S. G., Lineinye differentsialnye uravneniya v banakhovom prostranstve, Nauka, M., 1967, 464 pp. | MR

[3] Engel K., Nagel R., One-parameter semigroups for linear evolution equations, Springer, N.Y., 1999, 586 pp. | MR

[4] Baskakov A. G., Vorobëv A. A., Romanova M. Yu., “Giperbolicheskie polugruppy operatorov i uravnenie Lyapunova”, Mat. zametki, 89:2 (2011), 190–203 | DOI | MR | Zbl