Cesàro and Abel ergodic theorems for integrated semigroups
Let {S(t)}t≥ 0 be an integrated semigroup of bounded linear operators on the Banach space 𝒳 into itself and let A be their generator. In this paper, we consider some necessary and sufficient conditions for the Cesàro mean and the Abel average of S(t) converge uniformly on ℬ(𝒳). More precisely, we sh...
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| Format: | article |
| Langue: | EN |
| Publié: |
De Gruyter
2021
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| Accès en ligne: | https://doaj.org/article/d09c407aa8594ec0a71e736659c3b80e |
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