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Mean ergodicity of regularized solution families. (English) Zbl 1218.47020
The author investigates the mean ergodicity of $$(a,k)$$-regularized solution families for nondensely defined generators. Applications of the main result to $$n$$-times integrated semigroups are also presented.
##### MSC:
 47A35 Ergodic theory of linear operators 47D62 Integrated semigroups 45N05 Abstract integral equations, integral equations in abstract spaces 47D06 One-parameter semigroups and linear evolution equations 47D09 Operator sine and cosine functions and higher-order Cauchy problems
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