@article{Preda2012LyapunovOI, title={Lyapunov operator inequalities for exponential stability of Banach space semigroups of operators}, author={Ciprian Preda and Petre Preda}, journal={Appl. Math. Lett.}, year={2012}, volume={25}, pages={401-403} }

- Published 2012 in Appl. Math. Lett.
DOI:10.1016/j.aml.2011.09.022

We obtain continuous-time and discrete-time Lyapunov operator inequalities for the exponential stability of strongly continuous, one-parameter semigroups acting on Banach spaces. Thus we extend the classic result of Datko (1970) [2] from Hilbert spaces to Banach spaces. © 2011 Elsevier Ltd. All rights reserved.

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