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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 3, Pages 1–13
DOI: https://doi.org/10.4213/faa3003 (Mi faa3003) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Spectral Multiplicities of Infinite Measure Preserving Transformations

A. I. Danilenkoa, V. V. Ryzhikovb

a Institute for Low Temperature Physics and Engineering, Ukraine Academy of Sciences
b M. V. Lomonosov Moscow State University
Full-text PDF (251 kB) Citations (7) English version article
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DOI: https://doi.org/10.4213/faa3003
Abstract: Each set $E\subset\mathbb{N}$ is realized as the set of essential values of the multiplicity function of the Koopman operator for an ergodic conservative infinite measure preserving transformation.
Keywords: ergodic transformation, $\sigma$-finite measure, spectral multiplicity.
Received: 25.05.2009
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 3, Pages 161–170
DOI: https://doi.org/10.1007/s10688-010-0021-2
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: A. I. Danilenko, V. V. Ryzhikov, “Spectral Multiplicities of Infinite Measure Preserving Transformations”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 1–13; Funct. Anal. Appl., 44:3 (2010), 161–170
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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