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Funktsional'nyi Analiz i ego Prilozheniya, 2001, Volume 35, Issue 1, Pages 40–52
DOI: https://doi.org/10.4213/faa230 (Mi faa230) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Dixmier Traces and Unitary Representations

R. S. Ismagilov

N. E. Bauman Moscow State Technical University
Full-text PDF (202 kB) Citations (2)
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DOI: https://doi.org/10.4213/faa230
Abstract: As is known, for any two given unitary representations of a topological group in Hilbert spaces, a new unitary representation in the corresponding space of Hilbert–Schmidt mappings can be defined. In the paper, a modification of this construction is suggested that uses the Dixmier trace (instead of the ordinary operator trace). The case of the group of second-order real unimodular matrices is studied in detail.
Received: 12.10.1999
English version:
Functional Analysis and Its Applications, 2001, Volume 35, Issue 1, Pages 34–43
DOI: https://doi.org/10.1023/A:1004120500069
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: R. S. Ismagilov, “Dixmier Traces and Unitary Representations”, Funktsional. Anal. i Prilozhen., 35:1 (2001), 40–52; Funct. Anal. Appl., 35:1 (2001), 34–43
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa230
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    • This publication is cited in the following 2 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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    Full-text PDF :236
    References:62
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