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FUNCTIONS OF COMPACT OPERATORS UNDER TRACE CLASS PERTURBATIONS. / Aleksandrov, A.B.; Peller, V.V.

In: St. Petersburg Mathematical Journal, Vol. 36, No. 1, 2025, p. 1-7.

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

Harvard

Aleksandrov, AB & Peller, VV 2025, 'FUNCTIONS OF COMPACT OPERATORS UNDER TRACE CLASS PERTURBATIONS', St. Petersburg Mathematical Journal, vol. 36, no. 1, pp. 1-7. https://doi.org/10.1090/spmj/1843

APA

Aleksandrov, A. B., & Peller, V. V. (2025). FUNCTIONS OF COMPACT OPERATORS UNDER TRACE CLASS PERTURBATIONS. St. Petersburg Mathematical Journal, 36(1), 1-7. https://doi.org/10.1090/spmj/1843

Vancouver

Aleksandrov AB, Peller VV. FUNCTIONS OF COMPACT OPERATORS UNDER TRACE CLASS PERTURBATIONS. St. Petersburg Mathematical Journal. 2025;36(1):1-7. https://doi.org/10.1090/spmj/1843

Author

Aleksandrov, A.B. ; Peller, V.V. / FUNCTIONS OF COMPACT OPERATORS UNDER TRACE CLASS PERTURBATIONS. In: St. Petersburg Mathematical Journal. 2025 ; Vol. 36, No. 1. pp. 1-7.

BibTeX

@article{6e31a0dcca034e22816020fe1269b963,
title = "FUNCTIONS OF COMPACT OPERATORS UNDER TRACE CLASS PERTURBATIONS",
abstract = "The paper studies the problem for which continuous functions f on the real line R, the difference of the functions f(B) − f(A) of compact self-adjoint operators A and B with trace class difference must also be of trace class. The main result of the paper shows that this happens if and only if the function f is operator Lipschitz on a neighbourhood of zero. {\textcopyright} c 2025 American Mathematical Society",
keywords = "Operator Lipschitz functions, perturbation, self-adjoint operators",
author = "A.B. Aleksandrov and V.V. Peller",
note = "Export Date: 05 February 2026; Cited By: 0",
year = "2025",
doi = "10.1090/spmj/1843",
language = "Английский",
volume = "36",
pages = "1--7",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "1",

}

RIS

TY - JOUR

T1 - FUNCTIONS OF COMPACT OPERATORS UNDER TRACE CLASS PERTURBATIONS

AU - Aleksandrov, A.B.

AU - Peller, V.V.

N1 - Export Date: 05 February 2026; Cited By: 0

PY - 2025

Y1 - 2025

N2 - The paper studies the problem for which continuous functions f on the real line R, the difference of the functions f(B) − f(A) of compact self-adjoint operators A and B with trace class difference must also be of trace class. The main result of the paper shows that this happens if and only if the function f is operator Lipschitz on a neighbourhood of zero. © c 2025 American Mathematical Society

AB - The paper studies the problem for which continuous functions f on the real line R, the difference of the functions f(B) − f(A) of compact self-adjoint operators A and B with trace class difference must also be of trace class. The main result of the paper shows that this happens if and only if the function f is operator Lipschitz on a neighbourhood of zero. © c 2025 American Mathematical Society

KW - Operator Lipschitz functions

KW - perturbation

KW - self-adjoint operators

U2 - 10.1090/spmj/1843

DO - 10.1090/spmj/1843

M3 - статья

VL - 36

SP - 1

EP - 7

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 1

ER -

ID: 149074399