Invariant Subspaces and Spectral Conditions on Operator Semigroups
Heydar Radjavi (1997)
Banach Center Publications
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Heydar Radjavi (1997)
Banach Center Publications
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Yu Lyubich, Phóng Vũ (1988)
Studia Mathematica
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Jaromír J. Koliha, Trung Dinh Tran (2003)
Czechoslovak Mathematical Journal
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We study a class of closed linear operators on a Banach space whose nonzero spectrum lies in the open left half plane, and for which is at most a simple pole of the operator resolvent. Our spectral theory based methods enable us to give a simple proof of the characterization of -semigroups of bounded linear operators with asynchronous exponential growth, and recover results of Thieme, Webb and van Neerven. The results are applied to the study of the asymptotic behavior of the solutions...
Irina Melnikova (1996)
Banach Center Publications
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The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.
Ralph deLaubenfels (1997)
Banach Center Publications
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L. A. Coburn, R. G. Douglas (1971)
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Elkoutri, Abdelkader, Taoudi, Mohamed Aziz (2003)
International Journal of Mathematics and Mathematical Sciences
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Markin, Marat V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Markin, Marat V. (2002)
International Journal of Mathematics and Mathematical Sciences
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