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JOURNALS // Algebra i Analiz // Archive

Algebra i Analiz, 2020 Volume 32, Issue 6, Pages 101–123 (Mi aa1732)

This article is cited 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.

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.

Received: 14.03.2020

Language: English


 English version:
St. Petersburg Mathematical Journal, 2021, 32:6, 1033–1050


© Steklov Math. Inst. of RAS, 2025