Relatively compact-like perturbations, essential spectra and application

DOI10.1017/S1446788700010168zbMath1073.47019MaRDI QIDQ4658827

Khalid Latrach, Jean-Martin Paoli

Publication date: 21 March 2005

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

perturbationessential spectrumclosable operatorsingular neutron transport equation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Applications of operator theory to differential and integral equations (47N20) Nuclear reactor theory; neutron transport (82D75) Integro-differential operators (47G20)

Related Items (8)

On essential numerical ranges and essential spectra of Hamiltonian systems with one singular endpoint ⋮ A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation ⋮ Quasi-Fredholm and semi-B-Fredholm linear relations ⋮ Some results on Fredholm and semi-Fredholm perturbations ⋮ Fredholm operators, essential spectra and application to transport equations ⋮ Essential spectra, matrix operator and applications ⋮ Perturbation results for linear operators and application to the transport equation ⋮ Some remarks on the Schechter essential spectrum and applications to transport equations.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Perturbation theory for nullity, deficiency and other quantities of linear operators
• Boundary value problems in abstract kinetic theory
• Spectral methods in linear transport theory
• Essential spectra on spaces with the Dunford-Pettis property
• Relatively strictly singular perturbations, essential spectra, and application to transport operators
• On the essential spectrum of an arbitrary operator. I
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Complete continuity of the free gas scattering operator in neutron thermalization theory
• On the essential spectrum
• Linearized Boltzmann equation in \(L^ 1\) space
• Two-sided ideals and congruences in the ring of bounded operators in Hilbert space
• The basic propositions on defect numbers, root numbers and indices of linear operators
• Normally solvable operators and ideals associated with them
• Strictly Singular Operators and Their Conjugates
• On the stability of the index of unbounded linear transformations
• Fredholm, semi-Fredholm perturbations, and essential spectra

This page was built for publication: Relatively compact-like perturbations, essential spectra and application