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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
Full-text PDF (227 kB)
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: $\sigma(U(t))=\overline{\exp(\sigma(A)t)}$.
English version:
Journal of Soviet Mathematics, 1992, Volume 61, Issue 2, Pages 2035–2037
DOI: https://doi.org/10.1007/BF01095666
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
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
Citation in format AMSBIB
\Bibitem{PhoLyu89}
\by Vu~Quok~Phong, Yu.~I.~Lyubich
\paper On the spectral mapping theorem for a one-parameter group of operators
\inbook Investigations on linear operators and function theory. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 178
\pages 146--150
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4679}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1037768}
\zmath{https://zbmath.org/?q=an:0784.47043|0738.47038}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 61
\issue 2
\pages 2035--2037
\crossref{https://doi.org/10.1007/BF01095666}
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