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Boundedness and growth orders of means of discrete and continuous semigroups of operators

2008; Polish Academy of Sciences; Volume: 187; Issue: 1 Linguagem: Inglês

10.4064/sm187-1-1

1730-6337

Yuan-Chuan Li, Ryōtarō Satō, Sen-Yen Shaw,

Optimization and Variational Analysis

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 m