Uniformly ergodic A-contractions on Hilbert spaces

• Autorzy: Laurian Suciu
• Języki publikacji: EN

Abstrakty

EN

We study the concept of uniform (quasi-) A-ergodicity for A-contractions on a Hilbert space, where A is a positive operator. More precisely, we investigate the role of closedness of certain ranges in the uniformly ergodic behavior of A-contractions. We use some known results of M. Lin, M. Mbekhta and J. Zemánek, and S. Grabiner and J. Zemánek, concerning the uniform convergence of the Cesàro means of an operator, to obtain similar versions for A-contractions. Thus, we continue the study of A-ergodic operators developed earlier by the author.

Kategorie tematyczne

• 47A35: Ergodic theory
• 47B65: Positive operators and order-bounded operators
• 47B20: Subnormal operators, hyponormal operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 194
• Numer: 1
• Strony: 1-22

Daty

wydano

2009

Twórcy

autor

Laurian Suciu

• Department of Mathematics, University "Lucian Blaga" of Sibiu, Faculty of Sciences, Bd-ul Victoriei nr. 10, Sibiu 550024, Romania

Identyfikatory

DOI

10.4064/sm194-1-1