Title of article
Growth order and stability of discrete semigroups Original Research Article
Author/Authors
Jeng-Chung Chen، نويسنده , , Sen-Yen Shaw، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
4
From page
2879
To page
2882
Abstract
Characterizations of the growth order and the stability for the orbit {Tnx}{Tnx} of the powers TnTn of a bounded linear operator TT in terms of Cesàro and Abel means of the orbit are obtained. It is also seen that, under the Tauberian condition n‖Tn+1−Tn‖=O(1)n‖Tn+1−Tn‖=O(1), the strong (resp. uniform) convergence of {Tn}{Tn} is equivalent to its strong (resp. uniform) Abel mean convergence.
Keywords
Cesàro mean , Abel mean , Growth order , Uniform boundedness , Stability
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862055
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