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Overiterated Linear Operators and Asymptotic Behaviour of Semigroups

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Abstract.

The results provided hereby are related to the asymptotic behaviour of certain strongly continuous semigroups, which may be expressed in terms of iterates of positive linear operators, in the sense of Altomare’s theory. We present some applications to concrete cases involving continuous and discrete type operators, namely the Beta and the Stancu operators.

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Authors and Affiliations

  1. Dipartimento di Scienze Economiche e Metodi Matematici, Universitàdegli Studi di Bari, 70124, Bari, Italy

    Antonio Attalienti

  2. Department of Mathematics, Technical University of Cluj-Napoca, 400020, Cluj-Napoca, Romania

    Ioan Rasa

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  1. Antonio Attalienti
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  2. Ioan Rasa
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Correspondence to Antonio Attalienti.

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Attalienti, A., Rasa, I. Overiterated Linear Operators and Asymptotic Behaviour of Semigroups. MedJM 5, 315–324 (2008). https://doi.org/10.1007/s00009-008-0152-3

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  • DOI: https://doi.org/10.1007/s00009-008-0152-3

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