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. Mathematics Subject Classification (2000). Primary 41A35; Secondary 47D06. Keywords. Bounded linear operators, strongly continuous semigroups, asymptotic behaviour, iterates, overiterates.

Overiterated Linear Operator and Asymptotic Behaviour of Semigroups

ATTALIENTI, Antonio;
2008

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. Mathematics Subject Classification (2000). Primary 41A35; Secondary 47D06. Keywords. Bounded linear operators, strongly continuous semigroups, asymptotic behaviour, iterates, overiterates.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/12387
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