On J-selfadjoint extensions of J-symmetric ordinary differential operators

DOI10.1016/0022-0396(88)90123-4zbMath0664.34037OpenAlexW2053488548MaRDI QIDQ1114836

Zai-Jui Shang

Publication date: 1988

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(88)90123-4

zbMATH Keywords

J-symmetric ordinary differential operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Related Items

\(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients ⋮ Boundary conditions for general ordinary differential operators and their adjoints ⋮ Singular non-selfadjoint differential operators ⋮ Characterization of domains of self-adjoint ordinary differential operators. II ⋮ Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint ⋮ \(J\)-selfadjointness of a class of high-order differential operators with transmission conditions ⋮ The theory for \(J\)-Hermitian subspaces in a product space ⋮ Classification of non-symmetric Sturm-Liouville systems and operator realizations ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum ⋮ The classification of self-adjoint boundary conditions: separated, coupled, and mixed ⋮ Nonself-adjoint differential operators in direct sum spaces ⋮ Characterization of domains of self-adjoint ordinary differential operators ⋮ \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems ⋮ Friedrichs extensions of a class of singular Hamiltonian systems ⋮ \(J\)-self-adjoint extensions for a class of discrete linear Hamiltonian systems

Cites Work

• The theory of J-selfadjoint extensions of J-symmetric operators
• Formally self-adjoint quasidifferential operators
• On the boundary conditions characterizing J-sefladjoint extensions of J- symmetric operators
• The deficiency index problem for powers of ordinary differential expressions
• On the existence of J-selfadjoint extensions of J-symmetric operators with adjoint
• On J-Selfadjoint Extensions of J-Symmetric Operators
• On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices
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