Boundedness and growth orders of means of discrete and continuous semigroups of operators
Yuan-Chuan Li ; Ryotaro Sato ; Sen-Yen Shaw
Studia Mathematica, Tome 187 (2008), p. 1-35 / Harvested from The Polish Digital Mathematics Library
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We discuss implication relations for boundedness and growth orders of Cesàro means and Abel means of discrete semigroups and continuous semigroups of linear operators. Counterexamples are constructed to show that implication relations between two Cesàro means of different orders or between Cesàro means and Abel means are in general strict, except when the space has dimension one or two.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:284677 
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Yuan-Chuan Li; Ryotaro Sato; Sen-Yen Shaw. Boundedness and growth orders of means of discrete and continuous semigroups of operators. Studia Mathematica, Tome 187 (2008) pp. 1-35. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-1-1/