Overiterated Linear Operators and Asymptotic Behaviour of Semigroups

被引:0
作者
Antonio Attalienti
Ioan Rasa
机构
[1] Universitàdegli Studi di Bari,Dipartimento di Scienze Economiche e Metodi Matematici
[2] Technical University of Cluj-Napoca,Department of Mathematics
来源
Mediterranean Journal of Mathematics | 2008年 / 5卷
关键词
Primary 41A35; Secondary 47D06; Bounded linear operators; strongly continuous semigroups; asymptotic behaviour; iterates; overiterates;
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中图分类号
学科分类号
摘要
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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页码:315 / 324
页数:9
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