On a theorem of Zabczyk for semigroups of operators in locally convex spaces.
A discrete Lyapunov theorem for the exponential stability of evolution families.
On a theorem of Rolewicz for semigroups of operators in locally convex spaces
Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes
The exponential stability property of an evolutionary process is characterized in terms of the existence of some functionals on certain function spaces. Thus are generalized some well-known results obtained by Datko, Rolewicz, Littman and Van Neerven.
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