On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis

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On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis. / Amosov, G. G.

In: Analysis and Mathematical Physics, Vol. 11, No. 1, 27, 03.2021.

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

BibTeX

@article{d3c82740ff374f909f164874a622fdc2,

title = "On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis",

abstract = "We consider perturbations of dynamical semigroups on the algebra of all bounded operators in a Hilbert space generated by covariant completely positive measures on the semi-axis. The construction is based upon unbounded linear perturbations of generators of the preadjoint semigroups on the space of nuclear operators. As an application we construct a perturbation of the semigroup of non-unital *-endomorphisms on the algebra of canonical anticommutation relations resulting in the flow of shifts.",

keywords = "Covariant completely positive measures on the semi-axis, Perturbations of dynamical semigroups, The flow of shifts on the algebra of canonical anticommutation relations, SINGULAR PERTURBATIONS",

author = "Amosov, {G. G.}",

note = "Funding Information: This work is supported by the Russian Science Foundation under Grant 19-11-00086. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2021",

month = mar,

doi = "10.1007/s13324-020-00457-1",

language = "English",

volume = "11",

journal = "Analysis and Mathematical Physics",

issn = "1664-2368",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis

AU - Amosov, G. G.

N1 - Funding Information: This work is supported by the Russian Science Foundation under Grant 19-11-00086. Publisher Copyright: © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021/3

Y1 - 2021/3

N2 - We consider perturbations of dynamical semigroups on the algebra of all bounded operators in a Hilbert space generated by covariant completely positive measures on the semi-axis. The construction is based upon unbounded linear perturbations of generators of the preadjoint semigroups on the space of nuclear operators. As an application we construct a perturbation of the semigroup of non-unital *-endomorphisms on the algebra of canonical anticommutation relations resulting in the flow of shifts.

AB - We consider perturbations of dynamical semigroups on the algebra of all bounded operators in a Hilbert space generated by covariant completely positive measures on the semi-axis. The construction is based upon unbounded linear perturbations of generators of the preadjoint semigroups on the space of nuclear operators. As an application we construct a perturbation of the semigroup of non-unital *-endomorphisms on the algebra of canonical anticommutation relations resulting in the flow of shifts.

KW - Covariant completely positive measures on the semi-axis

KW - Perturbations of dynamical semigroups

KW - The flow of shifts on the algebra of canonical anticommutation relations

KW - SINGULAR PERTURBATIONS

UR - http://www.scopus.com/inward/record.url?scp=85098672845&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/9d5a3038-99ae-3b2f-8346-5a70439b51d4/

U2 - 10.1007/s13324-020-00457-1

DO - 10.1007/s13324-020-00457-1

M3 - Article

AN - SCOPUS:85098672845

VL - 11

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

SN - 1664-2368

IS - 1

M1 - 27

ER -

ID: 75033882