Completeness of the system of root vectors of \(2 \times 2\) upper triangular infinite-dimensional Hamiltonian operators in symplectic spaces and applications

DOI10.1007/S11401-011-0676-XzbMath1258.47031OpenAlexW2011899135MaRDI QIDQ1938744

Hua Wang, Alatancang Chen, Jun-Jie Huang

Publication date: 22 February 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0676-x

zbMATH Keywords

eigenvectorcompletenessroot vector\(2 \times 2\) upper triangular infinite-dimensional Hamiltonian operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Spectrum, resolvent (47A10) Special classes of linear operators (47B99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (3)

On local spectral properties of Hamilton type operators ⋮ Right and left Weyl operator matrices in a Banach space setting ⋮ Spectral inclusion properties of unbounded Hamiltonian operators

Cites Work

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• Structure of the spectrum of infinite dimensional Hamiltonian operators
• Completeness in the sense of Cauchy principal value of the eigenfunction systems of infinite dimensional Hamiltonian operator
• Invertibility of nonnegatively Hamiltonian operators in a Hilbert space
• The mode III stress/electric intensity factors and singularities analysis for edge-cracked circular piezoelectric shafts
• Descriptions of spectra of infinite dimensional Hamiltonian operators and their applications
• On the boundedness of Hamiltonian operators

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