The singular spectrum of the weakly perturbed multiplication operator

DOI10.1007/BF01094490zbMath0206.43801MaRDI QIDQ2542877

S. V. Petras, B. S. Pavlov

Publication date: 1970

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75)

Related Items (12)

Spontaneous decay of level from spectral theory point of view ⋮ Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model ⋮ The abstract inverse scattering problem and the instability of completeness of orthogonal systems ⋮ On the wave operators for the Friedrichs-Faddeev model ⋮ Singular spectrum near a singular point of Friedrichs model operators of absolute type ⋮ Structure of the singularities of operator functions with a positive imaginary part ⋮ A test for the absence of the singular continuous spectrum in the Friedrichs model ⋮ On a theorem of Titchmarsh-Neumark-Walter concerning absolutely continuous operators. I: The abstract part ⋮ New formulae for the wave operators for a rank one interaction ⋮ Conditions for the finiteness of the singular spectrum in the self- adjoint Friedrichs model ⋮ Uniqueness theorem and singular spectrum in the Friedrichs model near a singular point ⋮ Conditions for similarity to unitary and self-adjoint operators

Cites Work

• Sets of uniqueness for functions regular in the unit circle
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