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Krein’s trace formula for unitary operators and operator Lipschitz functions. / Peller, V. V.; Александров, Алексей Борисович.

In: Functional Analysis and its Applications, Vol. 50, No. 3, 01.07.2016, p. 167-175.

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

Harvard

Peller, VV & Александров, АБ 2016, 'Krein’s trace formula for unitary operators and operator Lipschitz functions', Functional Analysis and its Applications, vol. 50, no. 3, pp. 167-175. https://doi.org/10.1007/s10688-016-0145-0

APA

Peller, V. V., & Александров, А. Б. (2016). Krein’s trace formula for unitary operators and operator Lipschitz functions. Functional Analysis and its Applications, 50(3), 167-175. https://doi.org/10.1007/s10688-016-0145-0

Vancouver

Peller VV, Александров АБ. Krein’s trace formula for unitary operators and operator Lipschitz functions. Functional Analysis and its Applications. 2016 Jul 1;50(3):167-175. https://doi.org/10.1007/s10688-016-0145-0

Author

Peller, V. V. ; Александров, Алексей Борисович. / Krein’s trace formula for unitary operators and operator Lipschitz functions. In: Functional Analysis and its Applications. 2016 ; Vol. 50, No. 3. pp. 167-175.

BibTeX

@article{2c81bfa0c68543c7972ec199a38066a4,
title = "Krein{\textquoteright}s trace formula for unitary operators and operator Lipschitz functions",
abstract = "The main result of this paper is a description of the space of functions on the unit circle, for which Krein{\textquoteright}s trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.",
keywords = "double operator integrals, Krein{\textquoteright}s trace formula, operator Lipschitz functions, Schur multipliers, spectral shift function",
author = "Peller, {V. V.} and Александров, {Алексей Борисович}",
note = "Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media New York.",
year = "2016",
month = jul,
day = "1",
doi = "10.1007/s10688-016-0145-0",
language = "English",
volume = "50",
pages = "167--175",
journal = "Functional Analysis and its Applications",
issn = "0016-2663",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Krein’s trace formula for unitary operators and operator Lipschitz functions

AU - Peller, V. V.

AU - Александров, Алексей Борисович

N1 - Publisher Copyright: © 2016, Springer Science+Business Media New York.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - The main result of this paper is a description of the space of functions on the unit circle, for which Krein’s trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.

AB - The main result of this paper is a description of the space of functions on the unit circle, for which Krein’s trace formula holds for arbitrary pairs of unitary operators with trace class difference. This space coincides with the space of operator Lipschitz functions on the unit circle.

KW - double operator integrals

KW - Krein’s trace formula

KW - operator Lipschitz functions

KW - Schur multipliers

KW - spectral shift function

UR - http://www.scopus.com/inward/record.url?scp=84988420359&partnerID=8YFLogxK

U2 - 10.1007/s10688-016-0145-0

DO - 10.1007/s10688-016-0145-0

M3 - Article

AN - SCOPUS:84988420359

VL - 50

SP - 167

EP - 175

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 3

ER -

ID: 87315219