On a theorem of Carey and Pincus

DOI10.1016/0022-247X(90)90421-BzbMath0702.47010MaRDI QIDQ915093

James S. Howland

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

pure point spectrumsingular continuous spectrumperturbation of spectrumarbitrarily small trace-normbounded selfadjoint operator with spectral measure singular with respect to Lebesgue measurefinite spectral multiplicity

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on ordered spaces (47B60)

Related Items (3)

Spectral averaging, perturbation of singular spectra, and localization ⋮ Point spectrum and mixed spectral types for rank one perturbations ⋮ Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization

Cites Work

• Unnamed Item
• Perturbation theory of dense point spectra
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• Unitary Equivalence Modulo the Trace Class for Self-Adjoint Operators

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