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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 1, Pages 92–96
DOI: https://doi.org/10.4213/faa3104 (Mi faa3104) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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The Local Rank of an Ergodic Symmetric Power $T^{\odot n}$ Does Not Exceed $n!\,n^{-n}$

V. V. Ryzhikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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DOI: https://doi.org/10.4213/faa3104
Abstract: The infinity of the rank of ergodic symmetric powers of automorphisms of the Lebesgue space is proved, and sharp upper bounds for their local rank are found.
Keywords: ergodic transformation, local rank, symmetric tensor product.
Received: 28.09.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 1, Pages 76–79
DOI: https://doi.org/10.1007/s10688-013-0011-2
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Ryzhikov, “The Local Rank of an Ergodic Symmetric Power $T^{\odot n}$ Does Not Exceed $n!\,n^{-n}$”, Funktsional. Anal. i Prilozhen., 47:1 (2013), 92–96; Funct. Anal. Appl., 47:1 (2013), 76–79
Citation in format AMSBIB
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    • This publication is cited in the following 1 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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