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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 3–18
DOI: https://doi.org/10.4213/mzm2669 (Mi mzm2669) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line

G. G. Amosova, A. D. Baranovb

a Moscow Institute of Physics and Technology
b Saint-Petersburg State University
Full-text PDF (295 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm2669
Abstract: The class of contraction cocycles which can be dilated to unitary Markovian cocycles of a translation group S on the straight line is introduced. The class of cocycle perturbations of S by unitary Markovian cocycles W with the property Wt−I∈S2 (the Hilbert–Schmidt class) is investigated. The results are applied to perturbations of Kolmogorov flows on hyperfinite factors generated by the algebra of canonical anticommutation relations.
Received: 02.02.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 3–17
DOI: https://doi.org/10.1007/s11006-006-0001-2
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: G. G. Amosov, A. D. Baranov, “Dilations of Contraction Cocycles and Cocycle Perturbations of the Translation Group of the Line”, Mat. Zametki, 79:1 (2006), 3–18; Math. Notes, 79:1 (2006), 3–17
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm/v79/i1/p3
    Cycle of papers
    This publication is cited in the following 4 articles:
    1. G. G. Amosov, A. D. Baranov, V. V. Kapustin, “O primenenii modelnykh prostranstv dlya postroeniya kotsiklicheskikh vozmuschenii polugruppy sdvigov na polupryamoi”, Ufimsk. matem. zhurn., 4:1 (2012), 17–28  mathnet  mathscinet  elib
    2. G. G. Amosov, A. D. Baranov, V. V. Kapustin, “On perturbations of the isometric semigroup of shifts on the semiaxis”, St. Petersburg Math. J., 22:4 (2011), 515–528  mathnet  crossref  mathscinet  zmath  isi
    3. James Arthur Cipra, “Waring's Number in a Finite Field”, Integers, 9:4 (2009)  crossref
    4. G. G. Amosov, A. D. Baranov, “On dilatation of contracting cocycles and perturbations of the group of shifts on the line by cocycles, II”, Math. Notes, 79:5 (2006), 719–720  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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