Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 18, Tome 178 (1989), pp. 146-150
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Vu Quok Phong; Yu. I. Lyubich. On the spectral mapping theorem for a one-parameter group of operators. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 18, Tome 178 (1989), pp. 146-150. http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a5/
@article{ZNSL_1989_178_a5,
author = {Vu Quok Phong and Yu. I. Lyubich},
title = {On the spectral mapping theorem for a one-parameter group of operators},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {146--150},
year = {1989},
volume = {178},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a5/}
}
TY - JOUR
AU - Vu Quok Phong
AU - Yu. I. Lyubich
TI - On the spectral mapping theorem for a one-parameter group of operators
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 146
EP - 150
VL - 178
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a5/
LA - ru
ID - ZNSL_1989_178_a5
ER -
%0 Journal Article
%A Vu Quok Phong
%A Yu. I. Lyubich
%T On the spectral mapping theorem for a one-parameter group of operators
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 146-150
%V 178
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_178_a5/
%G ru
%F ZNSL_1989_178_a5
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: $\sigma(U(t))=\overline{\exp(\sigma(A)t)}$.
