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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 3, Pages 1–11
DOI: https://doi.org/10.4213/faa3243 (Mi faa3243) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Krein's trace formula for unitary operators and operator Lipschitz functions

A. B. Aleksandrova, V. V. Pellerb

a St.-Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
b Department of Mathematics, Michigan State University, East Lansing, USA
Full-text PDF (187 kB) Citations (13)
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DOI: https://doi.org/10.4213/faa3243
Abstract: 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.
Keywords: Krein's trace formula, spectral shift function, operator Lipschitz functions, double operator integrals, Schur multipliers.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00198
National Science Foundation DMS 1300924
The first author is partially supported by the RFBR grant 14-01-00198; the second author is partially supported by the NSF grant DMS 1300924.
Received: 12.04.2016
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 3, Pages 167–175
DOI: https://doi.org/10.1007/s10688-016-0145-0
Bibliographic databases:
Document Type: Article
UDC: 517.983.24
Language: Russian
Citation: A. B. Aleksandrov, V. V. Peller, “Krein's trace formula for unitary operators and operator Lipschitz functions”, Funktsional. Anal. i Prilozhen., 50:3 (2016), 1–11; Funct. Anal. Appl., 50:3 (2016), 167–175
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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