On necessary and sufficient condition in theory of regularized traces

DOI10.13108/2020-12-4-90zbMath1474.47039OpenAlexW3127025384MaRDI QIDQ4987246

Natal'Ya Fairbakhovna Abuzyarova, Z. Yu. Fazullin

Publication date: 29 April 2021

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa533

zbMATH Keywords

resolventperturbation theorydiscrete spectrumtrace formulatrace of an operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55) Operators on Hilbert spaces (general) (47B02)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A trace formula and high-energy spectral asymptotics for the perturbed Landau Hamiltonian
• The spectrum and trace formula for the two-dimensional Schrödinger operator in a homogeneous magnetic field
• Spectrum and a trace formula for a compactly supported perturbation of the 2D harmonic oscillator in a strip
• Regularized trace of a two-dimensional harmonic oscillator
• Traces of operators
• Traces of operators with relatively compact perturbations
• Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula
• Non-nuclear perturbations of discrete operators and trace formulae
• A formula for the first regularized trace of a perturbed Laplace-Beltrami operator

This page was built for publication: On necessary and sufficient condition in theory of regularized traces