This is a preview of subscription content, log in via an institution to check access.
Literature cited
M. Yu. Lyubich and Yu. I. Lyubich, “Splitting-off of the boundary spectrum for almost periodic operators and representations of semigroups,” Teor. Funktsii Funktional. Anal. i Prilozhen. (Kharkov), No. 45, 69–84 (1986).
G. M. Sklyar and V. Ya. Shirman, “On the asymptotic stability of a linear differential equation in a Banach space,” Teor. Funktsii Funktional. Anal. Prilozhen. (Kharkov), No. 37, 127–132 (1982).
Yu. I. Lyubich, “Conservative operators,” Usp. Mat. Nauk,20, No. 5, 221–225 (1965).
Yu. I. Lyubich and V. I. Matsaev, “On operators with separable spectrum,” Mat. Sb.,56, No. 4, 433–468 (1962).
Yu. I. Lyubich, “On completeness conditions for a system of eigenvectors of a correct operator,” Usp. Mat. Nauk,18, No. 1, 165–171 (1963).
K. Jacobs, “Ergodentheorie und fastperiodische Funktionen auf Halbgruppen”, Math. Z.,64, 298–338 (1956).
K. deLeeuw and I. Glicksberg, “Applications of almost periodic compactifications,” Acta Math.,105, 63–97 (1961).
B. M. Levitan and V. V. Zhikov, Almost Periodic Functions and Differential Equations, Cambridge Univ. Press (1982).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 47, pp. 36–41, 1987.
Rights and permissions
About this article
Cite this article
Fong, V.K., Lyubich, Y.I. A spectral criterion for the almost periodicity of one-parameter semigroups. J Math Sci 48, 644–647 (1990). https://doi.org/10.1007/BF01094717
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01094717