A Condition for Absence of Singular Spectrum with an Application to Perturbations of Self-Adjoint Toeplitz Operators

DOI10.2307/2374907zbMath0752.47007OpenAlexW2315074391MaRDI QIDQ3971527

William W. Johnston

Publication date: 25 June 1992

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374907

zbMATH Keywords

multiplicityToeplitz operatorspectral measureselfadjoint operatorabsolutely continuous partHilbert space isomorphism

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Spectral sets of linear operators (47A25)

Related Items (2)

Spectral stability for compact perturbations of Toeplitz matrices ⋮ Rank-one perturbations of diagonal operators

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