On Krein’s example

DOI10.1090/S0002-9939-08-09141-7zbMath1143.47019arXivmath/0606249OpenAlexW2103426639MaRDI QIDQ3506742

Vadim Kostrykin, Konstantin A. Makarov

Publication date: 17 June 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606249

zbMATH Keywords

Hankel operatorspectral shift functionabsolutely continuous spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (45P05)

Related Items (13)

The spectral shift function and the Friedel sum rule ⋮ On exact solutions of Hankel equations ⋮ On a generalisation of Krein's example ⋮ On a family of integral operators of Hankel type ⋮ An integer-valued version of the Birman-Krein formula ⋮ Spectral theory of discontinuous functions of self-adjoint operators: Essential spectrum ⋮ The Birman-Schwinger principle on the essential spectrum ⋮ Spectral and scattering theory for differential and Hankel operators ⋮ Scattering matrix and functions of self-adjoint operators ⋮ Spectral theory of discontinuous functions of self-adjoint operators and scattering theory ⋮ On the difference of spectral projections ⋮ The spectral density of Hankel operators with piecewise continuous symbols ⋮ The spectral density of a difference of spectral projections

Cites Work

• Spectral theory of self-adjoint Hankel matrices
• The index of a pair of projections
• Spectral shift function, amazing and multifaceted
• On the Hilbert Matrix, II
• Two Subspaces
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