Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

A perturbed ergodic theorem

Author(s): Radu-Nicolae Gologan
Journal: Proc. Amer. Math. Soc. 128 (2000), 1377-1380.
MSC (1991): Primary 47A35, 28D99
Posted: August 17, 1999
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

Abstract: Using a version of an ergodic lemma due to Cuculescu and Foias, we prove a pointwise ergodic theorem for -contractions which can be viewed as a perturbed version of the celebrated ergodic theorem of Chacon and Ornstein. Surprisingly, to some extent, the complex part of the iterates involved have no effect on the ergodic convergence.

References:

1.: R.V. CHACON: Convergence of Operator Averages, Proc.Internat. Sympos. Ergodic Theory, Academic Press, New York 1963, 89-120. MR 28:4081
2.: R.V. CHACON, D.S. ORNSTEIN: A general ergodic theorem, Ill. J. Math., 4, 1960, pp. 153-160. MR 22:1822
3.: C. CUCULESCU, C. FOIAS: An individual ergodic theorem for positive operators, Rev. Roum. Math. Pures et Appl., Tome XI, 1966, pp. 581-594. MR 33:7495
4.: R.-N. GOLOGAN: An extension of Chacon-Ornstein ergodic theorem, in Invariant Subspaces and other Topics, Birkhäuser Verlag, 1982, pp. 75-80. MR 84m:47014
5.: U.KRENGEL: Ergodic Theorems, Walter de Gruyter, Berlin; New York, 1985. MR 87i:28001

Similar Articles:

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47A35, 28D99

Retrieve articles in all Journals with MSC (1991): 47A35, 28D99

Additional Information:

Radu-Nicolae Gologan
Affiliation: Institutul de Matematica al Academiei Române, CP 1-764, 70700 Bucuresti, România
Email: rgologan@stoilow.imar.ro

DOI: 10.1090/S0002-9939-99-05243-0
PII: S 0002-9939(99)05243-0
Keywords: $L^1$-contraction, ergodic theorem
Received by editor(s): June 23, 1998
Posted: August 17, 1999
Additional Notes: The author was partially supported by the Romanian Academy, grant GAR 6645
Communicated by: David R. Larson
Copyright of article: Copyright 2000, American Mathematical Society


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS