Pointwise ergodic theorems for bounded lamperti representations of amenable groups

A. Tempelman

doi:10.1090/proc/12616

Pointwise ergodic theorems for bounded lamperti representations of amenable groups

A. Tempelman

Research output: Contribution to journal › Article › peer-review

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Abstract

Dominated and Pointwise Ergodic Theorems for bounded representations of second countable locally compact amenable groups by Lamperti operators in L^p(Ω,F,m), p > 1 fixed, are proved; we restrict ourselves to Ces`aro averages in this paper. These theorems generalize or are closely related to well-known theorems for powers of power bounded Lamperti operators.

Original language	English (US)
Pages (from-to)	4989-5004
Number of pages	16
Journal	Proceedings of the American Mathematical Society
Volume	143
Issue number	11
DOIs	https://doi.org/10.1090/proc/12616
State	Published - Nov 1 2015

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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abstract = "Dominated and Pointwise Ergodic Theorems for bounded representations of second countable locally compact amenable groups by Lamperti operators in Lp(Ω,F,m), p > 1 fixed, are proved; we restrict ourselves to Ces`aro averages in this paper. These theorems generalize or are closely related to well-known theorems for powers of power bounded Lamperti operators.",

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AB - Dominated and Pointwise Ergodic Theorems for bounded representations of second countable locally compact amenable groups by Lamperti operators in Lp(Ω,F,m), p > 1 fixed, are proved; we restrict ourselves to Ces`aro averages in this paper. These theorems generalize or are closely related to well-known theorems for powers of power bounded Lamperti operators.

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Pointwise ergodic theorems for bounded lamperti representations of amenable groups

Abstract

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