|
Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 178, Pages 146–150
(Mi znsl4679)
|
|
|
|
On the spectral mapping theorem for a one-parameter group of operators
Vu Quok Phong, Yu. I. Lyubich
Abstract:
Let $A$ be the generator of a strongly continuous non-quasianalytic one-parameter group of operators $U(t)$ ($A$ can be unbounded). Then the spectral mapping theorem is established in the following form: $\sigma(U(t))=\overline{\exp(\sigma(A)t)}$.
Citation:
Vu Quok Phong, Yu. I. Lyubich, “On the spectral mapping theorem for a one-parameter group of operators”, Investigations on linear operators and function theory. Part 18, Zap. Nauchn. Sem. LOMI, 178, "Nauka", Leningrad. Otdel., Leningrad, 1989, 146–150; J. Soviet Math., 61:2 (1992), 2035–2037
Linking options:
https://www.mathnet.ru/eng/znsl4679 https://www.mathnet.ru/eng/znsl/v178/p146
|
Statistics & downloads: |
Abstract page: | 155 | Full-text PDF : | 61 |
|