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

• Autorzy: Yuan-Chuan Li , Ryotaro Sato , Sen-Yen Shaw
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 47A35: Ergodic theory
• 40E10: Growth estimates

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 187
• Numer: 1
• Strony: 1-35

Daty

wydano

2008

Twórcy

autor

Yuan-Chuan Li

• Department of Applied Mathematics, National Chung-Hsing University, Taichung, 402 Taiwan

autor

Ryotaro Sato

• Department of Mathematics, Okayama University, Okayama, 700-8530 Japan
• 19-18 Higashi-hongo 2-chome, Midori-ku, Yokohama, 226-0002 Japan

autor

Sen-Yen Shaw

• Graduate School of Engineering, Lunghwa University of Science and Technology, Gueishan, Taoyuan, 333 Taiwan

Identyfikatory

DOI

10.4064/sm187-1-1