Non-nuclear perturbations of discrete operators and trace formulae

DOI10.1070/SM2005V196N12ABEH003742zbMath1135.47009OpenAlexW1975309472MaRDI QIDQ5459412

Z. Yu. Fazullin, Kh. Kh. Murtazin

Publication date: 28 April 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2005v196n12abeh003742

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items (8)

On regularized trace formulas for a well-posed perturbation of the \(m\)-Laplace operator ⋮ General trace formula for perturbations from the Gilbert-Schmidt class ⋮ Trace formula for a bounded perturbation of the Laplace operator on the square ⋮ Formula of the regularized trace for perturbation in the Schatten - von Neumann of discrete operators ⋮ Inverse spectral problem for Sturm - Liouville operator with prescribed partial trace ⋮ On necessary and sufficient condition in theory of regularized traces ⋮ Spectrum and a trace formula for a compactly supported perturbation of the 2D harmonic oscillator in a strip ⋮ A regularized trace formula for a well-perturbed Laplace operator

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