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Algebra i Analiz, 2020, Volume 32, Issue 6, Pages 101–123 (Mi aa1732)  
This article is cited in 5 scientific papers (total in 5 papers)

Research Papers

Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations

N. Nikolskiab, A. Pushnitskic

a Institut de Mathématiques de Bordeaux, Université de Bordeaux, Talence, France
b Leonard Euler International Mathematical Institute at St. Petersburg PDMI RAS, St. Petersburg, Russia
c Department of Mathematics, King's College London, Strand, London, WC2R 2LS, U.K.
Full-text PDF (294 kB) Citations (5)
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Abstract: We discuss an analog of the First Szegő Limit Theorem for multiplicative Toeplitz operators and highlight the role of the multliplicative Følner condition in this topic.
Keywords: Toeplitz operators, Szegő theorem, multiplicative Toeplitz operators, Følner sequence.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1620
The first author is supported by the Ministry of Science and Higher Education of the Russian Federation, agreement №075-15-2019-1620.
Received: 14.03.2020
English version:
St. Petersburg Mathematical Journal, 2021, Volume 32, Issue 6, Pages 1033–1050
DOI: https://doi.org/10.1090/spmj/1683
Document Type: Article
Language: English
Citation: N. Nikolski, A. Pushnitski, “Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations”, Algebra i Analiz, 32:6 (2020), 101–123; St. Petersburg Math. J., 32:6 (2021), 1033–1050
Citation in format AMSBIB
\Bibitem{NikPus20}
\by N.~Nikolski, A.~Pushnitski
\paper Szeg\H{o}-type limit theorems for ``multiplicative Toeplitz'' operators and non-F{\o}lner approximations
\jour Algebra i Analiz
\yr 2020
\vol 32
\issue 6
\pages 101--123
\mathnet{http://mi.mathnet.ru/aa1732}
\transl
\jour St. Petersburg Math. J.
\yr 2021
\vol 32
\issue 6
\pages 1033--1050
\crossref{https://doi.org/10.1090/spmj/1683}
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  • https://www.mathnet.ru/eng/aa1732
  • https://www.mathnet.ru/eng/aa/v32/i6/p101
    • This publication is cited in the following 5 articles:
    1. Kunyu Guo, Dilong Li, Qi Zhou, “The first Szegő limit theorem on multi-dimensional torus”, Advances in Mathematics, 450 (2024), 109744  crossref
    2. Alexander Pushnitski, “Three families of matrices”, Expositiones Mathematicae, 42:2 (2024), 125546  crossref
    3. St. Petersburg Math. J., 34:3 (2023), 463–481  mathnet  crossref
    4. Kunyu Guo, Fugang Yan, “Toeplitz operators on the Hardy space over the infinite-dimensional polydisc”, Acta Sci. Math. (Szeged), 88:1-2 (2022), 223  crossref
    5. Nikolai Nikolski, Trends in Mathematics, 12, Extended Abstracts Fall 2019, 2021, 145  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :35
    References:40
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