Perturbation theory for selfadjoint relations

DOI10.1007/s43034-019-00027-yOpenAlexW2990907736MaRDI QIDQ2287465

Josué I. Rios-Cangas, Luis O. Silva

Publication date: 20 January 2020

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07503

zbMATH Keywords

closed linear relationsdissipative and selfadjoint relationsWeyl perturbation theory

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear relations (multivalued linear operators) (47A06)

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The \(k\)-adjacency operators and adjacency Jacobi matrix on distance-regular graphs ⋮ Canonical decomposition for dissipative linear relations

Cites Work

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• Stability of essential spectra of self-adjoint subspaces under compact perturbations
• Essential spectra of linear relations
• Selfadjoint extensions of regular canonical systems with Stieltjes boundary conditions
• Compact and finite rank perturbations of closed linear operators and relations in Hilbert spaces
• Boundary-value problems for two-dimensional canonical systems
• Spectral properties of self-adjoint subspaces
• Dissipative extension theory for linear relations
• Factorized sectorial relations, their maximal-sectorial extensions, and form sums
• Compressions of maximal dissipative and self-adjoint linear relations and of dilations
• Essential spectra of self-adjoint relations under relatively compact perturbations

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