For citation:
Romanova M. Y. About numerical range of semigroup's generator. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, vol. 12, iss. 1, pp. 29-32. DOI: 10.18500/1816-9791-2012-12-1-29-32
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
24.02.2012
Full text:
(downloads: 153)
Language:
Russian
Heading:
UDC:
517.9
About numerical range of semigroup's generator
Autors:
Romanova Maria Yurjevna, Voronezh State University
Abstract:
In the article the semigroup is built. The numerical range of its generator covers complex plane. It is provided that such semigroup is bounded.
Key words:
References:
- Като Т. Теория возмущений линейных операторов. М.: Мир, 1972. 739 с.
- Крейн С. Г. Линейные дифференциальные уравнения в банаховом пространстве. М.: Наука, 1967. 464 с.
- Engel K., Nagel R. One-parameter semigroups for linear evolution equations. N.Y.: Springer, 1999. 586 p.
- Баскаков А. Г., Воробьёв А. А., Романова М. Ю. Гиперболические полугруппы операторов и уравнение Ляпунова // Мат. заметки. 2011. Т. 89, № 2. С. 190– 203.
- 952 reads