Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces

DOI10.1007/s00020-008-1650-1zbMath1194.47016OpenAlexW1983970104MaRDI QIDQ1030502

Carsten Trunk, Peter Jonas, Jussi Behrndt, Tomas Ya. Azizov

Publication date: 1 July 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-008-1650-1

zbMATH Keywords

closed linear operator compact perturbation finite rank perturbation closed linear relation Stone-de Snoo formula

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear relations (multivalued linear operators) (47A06)

Related Items (22)

Sequence of multivalued linear operators converging in the generalized sense ⋮ Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Relatively bounded perturbations of a closed linear relation and its adjoint ⋮ Finite rank perturbations of linear relations and matrix pencils ⋮ Perturbations of spectra of closed subspaces in Banach spaces ⋮ On Characteristic Invariants of Matrix Pencils and Linear Relations ⋮ Fredholm properties of upper triangular matrices of relations ⋮ Linear relations and the Kronecker canonical form ⋮ Relationships between perturbations of a linear relation and its operator part ⋮ Trace class perturbation of closed linear relations ⋮ Boundedness and closedness of linear relations ⋮ Stability of essential spectra of self-adjoint subspaces under compact perturbations ⋮ Dissipative extension theory for linear relations ⋮ On hypercyclicity of linear relations ⋮ On a question of A. E. Nussbaum on measurability of families of closed linear operators in a Hilbert space ⋮ Essential spectra of self-adjoint relations under relatively compact perturbations ⋮ Perturbation theory for selfadjoint relations ⋮ Spectral theory for operator matrices related to models in mechanics ⋮ A Linear Relation Approach to Port-Hamiltonian Differential-Algebraic Equations ⋮ Multi-valued weighted composition operators on Fock space ⋮ On the range of upper triangular relation matrices

This page was built for publication: Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces