The theory for \(J\)-Hermitian subspaces in a product space

DOI10.5402/2012/676835zbMath1264.47007OpenAlexW2122549000WikidataQ58692067 ScholiaQ58692067MaRDI QIDQ429082

Huaqing Sun, Jian Gang Qi

Publication date: 26 June 2012

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/676835

zbMATH Keywords

Hilbert spaceextension\(J\)-Hermitian subspace

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dilations, extensions, compressions of linear operators (47A20) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items

\(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients, Friedrichs extensions of a class of discrete Hamiltonian systems with one singular endpoint, \(J\)-self-adjoint extensions for a class of discrete linear Hamiltonian systems

Cites Work

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• Classification of non-self-adjoint singular Sturm-Liouville difference equations
• The theory of J-selfadjoint extensions of J-symmetric operators
• Self-adjoint extensions for second-order symmetric linear difference equations
• Operational calculus of linear relations
• 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 self-adjoint extensions of symmetric ordinary differential operators in direct sum spaces
• Self-adjoint extensions of symmetric subspaces
• Selfadjoint subspaces and eigenfunction expansions for ordinary differential subspaces
• Self-adjoint subspace extensions of nondensely defined symmetric operators
• On generalized resolvents and \(Q\)-functions of symmetric linear relations (subspaces) in Hilbert space
• On the deficiency indices and self-adjointness of symmetric Hamiltonian systems
• Spectral inclusion and spectral exactness for singular non-self-adjoint Sturm-Liouville problems
• Classification of Sturm–Liouville differential equations with complex coefficients and operator realizations
• On the spectrum of second-order differential operators with complex coefficients
• On the self-adjoint extensions of symmetric ordinary differential operators with middle deficiency indices
• Non-self-adjoint difference operators and their spectrum
• Extension theory of formally normal and symmetric subspaces