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A Lyapunov theorem for semigroups of operators

✍ Scribed by L. Pandolfi


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
284 KB
Volume
15
Category
Article
ISSN
0167-6911

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We study operator Lyapunov inequalities and equations for which the inΓΏnitesimal generator is not necessarily stable, but it satisΓΏes the spectrum decomposition assumption and it has at most ΓΏnitely many unstable eigenvalues. Moreover, the input or output operators are not necessarily bounded, but a