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Dissipative operators and operator lipschitz functions. / Александров, Алексей Борисович; Peller, V. V.; Garcia, Stephan Ramon.

In: Proceedings of the American Mathematical Society, Vol. 147, No. 5, 05.2019, p. 2081-2093.

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

Harvard

Александров, АБ, Peller, VV & Garcia, SR 2019, 'Dissipative operators and operator lipschitz functions', Proceedings of the American Mathematical Society, vol. 147, no. 5, pp. 2081-2093. https://doi.org/10.1090/proc/14335

APA

Александров, А. Б., Peller, V. V., & Garcia, S. R. (2019). Dissipative operators and operator lipschitz functions. Proceedings of the American Mathematical Society, 147(5), 2081-2093. https://doi.org/10.1090/proc/14335

Vancouver

Александров АБ, Peller VV, Garcia SR. Dissipative operators and operator lipschitz functions. Proceedings of the American Mathematical Society. 2019 May;147(5):2081-2093. https://doi.org/10.1090/proc/14335

Author

Александров, Алексей Борисович ; Peller, V. V. ; Garcia, Stephan Ramon. / Dissipative operators and operator lipschitz functions. In: Proceedings of the American Mathematical Society. 2019 ; Vol. 147, No. 5. pp. 2081-2093.

BibTeX

@article{ae1ae57912584795922a6a954c6d3265,
title = "Dissipative operators and operator lipschitz functions",
abstract = " The purpose of this paper is to obtain an integral representation for the difference f(L 1 )-f(L 2 ) of functions of maximal dissipative operators. This representation in terms of double operator integrals will allow us to establish Lipschitz-type estimates for functions of maximal dissipative operators. We also consider a similar problem for quasicommutators, i.e., operators of the form f(L 1 )R - Rf(L 2 ). ",
author = "Александров, {Алексей Борисович} and Peller, {V. V.} and Garcia, {Stephan Ramon}",
note = "Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",
year = "2019",
month = may,
doi = "10.1090/proc/14335",
language = "English",
volume = "147",
pages = "2081--2093",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "5",

}

RIS

TY - JOUR

T1 - Dissipative operators and operator lipschitz functions

AU - Александров, Алексей Борисович

AU - Peller, V. V.

AU - Garcia, Stephan Ramon

N1 - Publisher Copyright: © 2019 American Mathematical Society.

PY - 2019/5

Y1 - 2019/5

N2 - The purpose of this paper is to obtain an integral representation for the difference f(L 1 )-f(L 2 ) of functions of maximal dissipative operators. This representation in terms of double operator integrals will allow us to establish Lipschitz-type estimates for functions of maximal dissipative operators. We also consider a similar problem for quasicommutators, i.e., operators of the form f(L 1 )R - Rf(L 2 ).

AB - The purpose of this paper is to obtain an integral representation for the difference f(L 1 )-f(L 2 ) of functions of maximal dissipative operators. This representation in terms of double operator integrals will allow us to establish Lipschitz-type estimates for functions of maximal dissipative operators. We also consider a similar problem for quasicommutators, i.e., operators of the form f(L 1 )R - Rf(L 2 ).

UR - http://www.scopus.com/inward/record.url?scp=85065465342&partnerID=8YFLogxK

U2 - 10.1090/proc/14335

DO - 10.1090/proc/14335

M3 - Article

AN - SCOPUS:85065465342

VL - 147

SP - 2081

EP - 2093

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 5

ER -

ID: 87314962