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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 3, Pages 88–91
DOI: https://doi.org/10.4213/faa3207 (Mi faa3207) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

On the Centralizer of an Infinite Mixing Rank-One Transformation

V. V. Ryzhikova, J.-P. Thouvenotb

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Université Pierre & Marie Curie, Paris VI
Full-text PDF (123 kB) Citations (8)
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DOI: https://doi.org/10.4213/faa3207
Abstract: A property of minimal self-joinings for mixing rank-one transformations preserving the measure of an infinite Lebesgue space is established. Its main consequence is the triviality of the centralizer of such transformations.
Keywords: mixing, rank-one transformation, sigma-finite measure, minimal self-joinings.
Received: 17.02.2014
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 3, Pages 230–233
DOI: https://doi.org/10.1007/s10688-015-0111-2
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Ryzhikov, J.-P. Thouvenot, “On the Centralizer of an Infinite Mixing Rank-One Transformation”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 88–91; Funct. Anal. Appl., 49:3 (2015), 230–233
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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