ERGODIC BEHAVIORS OF THE REGULAR OPERATOR MEANS

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SUCIU LAURIAN

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2017 | Volume:11 | Issue:2 Page(s): 239-265

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Title

ERGODIC BEHAVIORS OF THE REGULAR OPERATOR MEANS

Author(s)

SUCIU LAURIAN | Issue Writer Certificate

Keywords

CESARO MEAN

BINOMIAL MEAN

ERGODICITY

UNIFORM KREISS-BOUNDED OPERATOR

Abstract

This article deals with some ergodic properties for general sequences in the closed convex hull of the orbit of some (not necessarily power-bounded) operators in Banach spaces. A regularity condition more general than that of ERGODICITY is used to obtain some versions of the Esterle–Katznelson–Tzafriri theorem. Also, the ERGODICITY of the backward iterates of a sequence is proved under appropriate assumptions as, for example, its peripheral boundedness on the unit circle. The applications concern uniformly Kreiss-bounded operators, and other ergodic results are obtained for the BINOMIAL MEANs and some operator means related to the CESARO MEANs.

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APA: Copy

SUCIU, LAURIAN. (2017). ERGODIC BEHAVIORS OF THE REGULAR OPERATOR MEANS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 11(2), 239-265. SID. https://sid.ir/paper/317079/en

Vancouver: Copy

SUCIU LAURIAN. ERGODIC BEHAVIORS OF THE REGULAR OPERATOR MEANS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2017;11(2):239-265. Available from: https://sid.ir/paper/317079/en

IEEE: Copy

LAURIAN SUCIU, “ERGODIC BEHAVIORS OF THE REGULAR OPERATOR MEANS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 11, no. 2, pp. 239–265, 2017, [Online]. Available: https://sid.ir/paper/317079/en

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