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Dilations of contraction cocycles and cocycle perturbations of the translation group of the line. / Amosov, G. G.; Baranov, A. D.

In: Mathematical Notes, Vol. 79, No. 1-2, 01.01.2006, p. 3-17.

Research output: Contribution to journal › Article › peer-review

Harvard

Amosov, GG & Baranov, AD 2006, 'Dilations of contraction cocycles and cocycle perturbations of the translation group of the line', Mathematical Notes, vol. 79, no. 1-2, pp. 3-17. https://doi.org/10.1007/s11006-006-0001-2

APA

Amosov, G. G., & Baranov, A. D. (2006). Dilations of contraction cocycles and cocycle perturbations of the translation group of the line. Mathematical Notes, 79(1-2), 3-17. https://doi.org/10.1007/s11006-006-0001-2

Vancouver

Amosov GG, Baranov AD. Dilations of contraction cocycles and cocycle perturbations of the translation group of the line. Mathematical Notes. 2006 Jan 1;79(1-2):3-17. https://doi.org/10.1007/s11006-006-0001-2

Author

Amosov, G. G. ; Baranov, A. D. / Dilations of contraction cocycles and cocycle perturbations of the translation group of the line. In: Mathematical Notes. 2006 ; Vol. 79, No. 1-2. pp. 3-17.

BibTeX

@article{7ef43a4392db442fa148f681ae80bf8a,
title = "Dilations of contraction cocycles and cocycle perturbations of the translation group of the line",
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 W t -I ε S 2 (the Hubert-Schmidt class) is investigated. The results are applied to perturbations of Kolmogorov flows on hyperfinite factors generated by the algebra of canonical anticommutation relations.",
keywords = "Cocycle perturbation, Contraction cocycle, Dilation of a contraction cocycle, Perturbations of Kolmogorov flows, Translation group on the line, Unitary markovian cocycle",
author = "Amosov, {G. G.} and Baranov, {A. D.}",
year = "2006",
month = jan,
day = "1",
doi = "10.1007/s11006-006-0001-2",
language = "English",
volume = "79",
pages = "3--17",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "1-2",

}

RIS

TY - JOUR

T1 - Dilations of contraction cocycles and cocycle perturbations of the translation group of the line

AU - Amosov, G. G.

AU - Baranov, A. D.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - 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 W t -I ε S 2 (the Hubert-Schmidt class) is investigated. The results are applied to perturbations of Kolmogorov flows on hyperfinite factors generated by the algebra of canonical anticommutation relations.

AB - 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 W t -I ε S 2 (the Hubert-Schmidt class) is investigated. The results are applied to perturbations of Kolmogorov flows on hyperfinite factors generated by the algebra of canonical anticommutation relations.

KW - Cocycle perturbation

KW - Contraction cocycle

KW - Dilation of a contraction cocycle

KW - Perturbations of Kolmogorov flows

KW - Translation group on the line

KW - Unitary markovian cocycle

UR - http://www.scopus.com/inward/record.url?scp=31844446635&partnerID=8YFLogxK

U2 - 10.1007/s11006-006-0001-2

DO - 10.1007/s11006-006-0001-2

M3 - Article

AN - SCOPUS:31844446635

VL - 79

SP - 3

EP - 17

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 1-2

ER -

ID: 62180410