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Almost commuting functions of almost commuting self-adjoint operators. / Peller, Vladimir; Александров, Алексей Борисович.

In: Comptes Rendus Mathematique, Vol. 353, No. 7, 01.07.2015, p. 583-588.

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

Harvard

Peller, V & Александров, АБ 2015, 'Almost commuting functions of almost commuting self-adjoint operators', Comptes Rendus Mathematique, vol. 353, no. 7, pp. 583-588. https://doi.org/10.1016/j.crma.2015.04.012

APA

Peller, V., & Александров, А. Б. (2015). Almost commuting functions of almost commuting self-adjoint operators. Comptes Rendus Mathematique, 353(7), 583-588. https://doi.org/10.1016/j.crma.2015.04.012

Vancouver

Peller V, Александров АБ. Almost commuting functions of almost commuting self-adjoint operators. Comptes Rendus Mathematique. 2015 Jul 1;353(7):583-588. https://doi.org/10.1016/j.crma.2015.04.012

Author

Peller, Vladimir ; Александров, Алексей Борисович. / Almost commuting functions of almost commuting self-adjoint operators. In: Comptes Rendus Mathematique. 2015 ; Vol. 353, No. 7. pp. 583-588.

BibTeX

@article{748fe18236f548b388b114744f73d243,
title = "Almost commuting functions of almost commuting self-adjoint operators",
abstract = "Let A and B be almost commuting (i.e, AB-BA∈S1) self-adjoint operators. We construct a functional calculus ϕ↦ϕ(A, B) for ϕ in the Besov class B∞,11(R2). This functional calculus is linear, the operators ϕ(A, B) and ψ(A, B) almost commute for ϕ,ψ∈B∞,11(R2), ϕ(A,B)=u(A)v(B) whenever ϕ(s,t)=u(s)v(t), and the Helton-Howe trace formula holds. The main tool is triple operator integrals.",
author = "Vladimir Peller and Александров, {Алексей Борисович}",
note = "Publisher Copyright: {\textcopyright} 2015 Acad{\'e}mie des sciences.",
year = "2015",
month = jul,
day = "1",
doi = "10.1016/j.crma.2015.04.012",
language = "English",
volume = "353",
pages = "583--588",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier",
number = "7",

}

RIS

TY - JOUR

T1 - Almost commuting functions of almost commuting self-adjoint operators

AU - Peller, Vladimir

AU - Александров, Алексей Борисович

N1 - Publisher Copyright: © 2015 Académie des sciences.

PY - 2015/7/1

Y1 - 2015/7/1

N2 - Let A and B be almost commuting (i.e, AB-BA∈S1) self-adjoint operators. We construct a functional calculus ϕ↦ϕ(A, B) for ϕ in the Besov class B∞,11(R2). This functional calculus is linear, the operators ϕ(A, B) and ψ(A, B) almost commute for ϕ,ψ∈B∞,11(R2), ϕ(A,B)=u(A)v(B) whenever ϕ(s,t)=u(s)v(t), and the Helton-Howe trace formula holds. The main tool is triple operator integrals.

AB - Let A and B be almost commuting (i.e, AB-BA∈S1) self-adjoint operators. We construct a functional calculus ϕ↦ϕ(A, B) for ϕ in the Besov class B∞,11(R2). This functional calculus is linear, the operators ϕ(A, B) and ψ(A, B) almost commute for ϕ,ψ∈B∞,11(R2), ϕ(A,B)=u(A)v(B) whenever ϕ(s,t)=u(s)v(t), and the Helton-Howe trace formula holds. The main tool is triple operator integrals.

UR - http://www.scopus.com/inward/record.url?scp=84930413782&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2015.04.012

DO - 10.1016/j.crma.2015.04.012

M3 - Article

AN - SCOPUS:84930413782

VL - 353

SP - 583

EP - 588

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 7

ER -

ID: 87308979