The first Szegö limit theorem for non-selfadjoint operators in the Følner algebra

DOI10.7146/math.scand.a-14967zbMath1094.47039OpenAlexW1608208877MaRDI QIDQ5718058

Peter Otte, Albrecht Böttcher

Publication date: 13 January 2006

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-14967

zbMATH Keywords

Toeplitz operatortrace formulaasymptotic formulasnormal operatorsLaurent operatorSzegő limit theoremsbanded operatorFølner algebragood numerical range

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Topological algebras of operators (46H35) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (4)

On spectral approximation, Følner sequences and crossed products ⋮ Følner sequences and finite operators ⋮ Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations ⋮ Følner Sequences in Operator Theory and Operator Algebras

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