Geodesic
Uniformly ergodic $A$-contractions on Hilbert spaces
Laurian Suciu 1
1 Department of Mathematics University “Lucian Blaga” of Sibiu Faculty of Sciences Bd-ul Victoriei nr. 10 Sibiu 550024, Romania
Studia Mathematica, Tome 194 (2009) no. 1, pp. 1-22 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm194-1-1
Keywords: study concept uniform quasi a ergodicity a contractions hilbert space where positive operator precisely investigate role closedness certain ranges uniformly ergodic behavior a contractions known results lin mbekhta nbsp zem nek grabiner nbsp zem nek concerning uniform convergence ces means operator obtain similar versions a contractions continue study a ergodic operators developed earlier author

Laurian Suciu  1

1 Department of Mathematics University “Lucian Blaga” of Sibiu Faculty of Sciences Bd-ul Victoriei nr. 10 Sibiu 550024, Romania 
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Laurian Suciu. Uniformly ergodic $A$-contractions on Hilbert spaces. Studia Mathematica, Tome 194 (2009) no. 1, pp. 1-22. doi: 10.4064/sm194-1-1

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