Stability of index for linear relations and its applications

DOI10.1016/j.indag.2017.11.003zbMath1384.39008OpenAlexW2770724694MaRDI QIDQ1705757

Guojing Ren

Publication date: 16 March 2018

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2017.11.003

zbMATH Keywords

stabilityHilbert spaceBanach spacedissipativedeficiency indexlinear relationHermitiansecond-order difference expressions

Mathematics Subject Classification ID

Difference operators (39A70) Linear difference operators (47B39) Linear accretive operators, dissipative operators, etc. (47B44) Stability theory for difference equations (39A30)

Related Items (2)

Stability of deficiency indices of Hermitian subspaces under relatively bounded perturbations ⋮ Stability theory for nullity and deficiency of linear relations

Cites Work

• Dissipative operators in a Banach space
• Operational calculus of linear relations
• Ascent, descent, nullity, defect, and related notions for linear relations in linear spaces
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• On the density of the minimal subspaces generated by discrete linear Hamiltonian systems
• Compressions of maximal dissipative and self-adjoint linear relations and of dilations
• Perturbation of normally solvable linear relations in paracomplete spaces
• Dissipative Operators and Hyperbolic Systems of Partial Differential Equations
• Stability of deficiency indices
• STABILITY OF THE DEFICIENCY INDICES OF SYMMETRIC OPERATORS UNDER SELF-ADJOINT PERTURBATIONS
• Extension theory of formally normal and symmetric subspaces
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