A spectral criterion for the almost periodicity of one-parameter semigroups

Vu Kuok Fong; Yu. I. Lyubich

doi:10.1007/bf01094717

journal article Mar 01, 1990

A spectral criterion for the almost periodicity of one-parameter semigroups

Vu Kuok Fong Yu. I. Lyubich

Journal of Soviet Mathematics Vol. 48 No. 6 pp. 644-647 · Springer Science and Business Media LLC

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References

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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).

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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).

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Yu. I. Lyubich, ?Conservative operators,? Usp. Mat. Nauk,20, No. 5, 221?225 (1965).

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Yu. I. Lyubich and V. I. Matsaev, ?On operators with separable spectrum,? Mat. Sb.,56, No. 4, 433?468 (1962).

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Yu. I. Lyubich, ?On completeness conditions for a system of eigenvectors of a correct operator,? Usp. Mat. Nauk,18, No. 1, 165?171 (1963).

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K. Jacobs, ?Ergodentheorie und fastperiodische Funktionen auf Halbgruppen?, Math. Z.,64, 298?338 (1956). 10.1007/bf01166575

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B. M. Levitan and V. V. Zhikov, Almost Periodic Functions and Differential Equations, Cambridge Univ. Press (1982).

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Published: Mar 01, 1990
Vol/Issue: 48(6)
Pages: 644-647
License: View

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Cite This Article

Vu Kuok Fong, Yu. I. Lyubich (1990). A spectral criterion for the almost periodicity of one-parameter semigroups. Journal of Soviet Mathematics, 48(6), 644-647. https://doi.org/10.1007/bf01094717

A spectral criterion for the almost periodicity of one-parameter semigroups

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