A new proof of Poltoratskii's theorem

DOI10.1016/j.jfa.2003.09.014zbMath1070.47012OpenAlexW2043041545MaRDI QIDQ1888354

Yoram Last, Vojkan Jakšić

Publication date: 23 November 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.09.014

zbMATH Keywords

Stieltjes transformBorel transformsingular measurerank one perturbationsPoltoratskii theorem

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55)

Related Items (12)

Reflectionless Herglotz functions and Jacobi matrices ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Subordinacy theory on star-like graphs ⋮ Clark model in the general situation ⋮ Multiplicity bound of singular spectrum for higher rank Anderson models ⋮ Simplicity of singular spectrum in Anderson-type Hamiltonians ⋮ On the difference of spectral projections ⋮ Continuity of spectral averaging ⋮ Jakšić-Last theorem for higher rank perturbations ⋮ Rank-one perturbations and Anderson-type Hamiltonians ⋮ A theorem on the multiplicity of the singular spectrum of a general Anderson-type Hamiltonian ⋮ Subordinacy theory for extended CMV matrices

Cites Work

• Spectral structure of Anderson type Hamiltonians
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