Abel-ergodic properties of pseudo-resolvents and applications to semigroups. (English) Zbl 0792.47045
This paper is devoted to the study of ergodic properties of strongly and weakly continuous semigroups of operators on Banach spaces. Some equivalent conditions are given for the weak and strong Abel and Cesàro ergodic properties of locally integrable semigroups. Such conditions are applied to the study of the quasi-weakly \(Y\)-integrable semigroups.
Reviewer: I.Erdelyi (Tokyo)
MSC:
| 47D06 | One-parameter semigroups and linear evolution equations |
| 47A35 | Ergodic theory of linear operators |
| 20M20 | Semigroups of transformations, relations, partitions, etc. |
Keywords:
ergodic properties of strongly and weakly continuous semigroups of operators on Banach spaces; weak and strong Abel and Cesàro ergodic properties of locally integrable semigroups; quasi-weakly \(Y\)-integrable semigroupsReferences:
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