Descriptions of spectra of infinite dimensional Hamiltonian operators and their applications

DOI10.1002/MANA.200710076zbMath1204.47008OpenAlexW1992705945MaRDI QIDQ3581230

Alatancang Chen, Jun-Jie Huang, Hongyou Wu

Publication date: 16 August 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200710076

zbMATH Keywords

continuous spectrumspectrumresolvent setpoint spectrumresidual spectruminfinite-dimensional Hamiltonian operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99)

Related Items (4)

Completeness of the system of root vectors of \(2 \times 2\) upper triangular infinite-dimensional Hamiltonian operators in symplectic spaces and applications ⋮ Perturbation of spectra for a class of \(2\times 2\) operator matrices ⋮ Generalized Inverse of Upper Triangular Infinite Dimensional Hamiltonian Operators ⋮ Eigenvalue problem of Hamiltonian operator matrices

Cites Work

• On the determination of a differential equation from its spectral function
• On the boundedness of Hamiltonian operators
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