\(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems

DOI10.1016/J.LAA.2014.08.007zbMath1417.34205OpenAlexW2083641377MaRDI QIDQ741508

Huaqing Sun, Yuming Shi, Wenwen Jian

Publication date: 12 September 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.08.007

zbMATH Keywords

Hamiltonian systemself-adjoint extensiondefect index

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items (4)

Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems ⋮ Friedrichs extensions of a class of singular Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The theory of J-selfadjoint extensions of J-symmetric operators
• \(\mathcal J\)-self-adjointness of a class of Dirac-type operators
• Spectral theory of Hamiltonian systems with almost constant coefficients
• Self-adjoint extensions for second-order symmetric linear difference equations
• Real-parameter square-integrable solutions and the spectrum of differential operators
• The spectrum of differential operators and square-integrable solutions
• Continuous spectrum and square-integrable solutions of differential operators with intermediate deficiency index
• On a \(J\)-polar decomposition of a bounded operator and matrices of \(J\)-symmetric and \(J\)-skew-symmetric operators
• Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints
• On classification of second-order differential equations with complex coefficients
• Characterization of domains of self-adjoint ordinary differential operators
• Spectral theory of ordinary differential operators
• On J-selfadjoint extensions of J-symmetric ordinary differential operators
• On the boundary conditions characterizing J-sefladjoint extensions of J- symmetric operators
• On the rank of the matrix radius of the limiting set for a singular linear Hamiltonian system.
• A limit point criterion with applications to nonselfadjoint equations
• On the closure of the complex symmetric operators: compact operators and weighted shifts
• \(J\)-self-adjoint extensions for a class of discrete linear Hamiltonian systems
• Remarks on the structure of complex symmetric operators
• Discrete and continuous boundary problems
• Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems
• On J-self-adjoint operators with stable C-symmetries
• Some new classes of complex symmetric operators
• Spectral analysis of higher order differential operators with unbounded coefficients
• Self‐adjoint extensions for singular linear Hamiltonian systems
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with Two Singular Points
• On the essential spectra of linear 2nth order differential operators with complex coefficients
• On the existence of J-selfadjoint extensions of J-symmetric operators with adjoint
• On J-Selfadjoint Extensions of J-Symmetric Operators
• On the spectrum of second-order differential operators with complex coefficients
• Spectral Analysis of Higher-Order Differential Operators II: Fourth-Order Equations
• Spectral Analysis of Higher Order Differential Operators I: General Properties of the M -Function
• On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices
• $M(\lambda )$ Theory for Singular Hamiltonian Systems with One Singular Point
• Spectral inclusion and spectral exactness for singular non-self-adjoint Hamiltonian systems
• Essential spectrum and 𝐿_2-solutions of one-dimensional Schrödinger operators
• On $J$-self-adjoint extensions of the Phillips symmetric operator

This page was built for publication: \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems