Spectral properties and numerical range of off-diagonal infinite-dimensional Hamiltonian operators

DOI10.1080/03081087.2011.621066zbMath1253.47023OpenAlexW1966712642MaRDI QIDQ2895704

De Yu Wu, Alatancang Chen

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.621066

zbMATH Keywords

numerical rangepoint spectrumresidual spectruminfinite-dimensional off-diagonal Hamiltonian operator

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (5)

The local spectral properties of extended Hamilton operators ⋮ Symmetry of the quadratic numerical range and spectral inclusion properties of Hamiltonian operator matrices ⋮ On the pseudo-spectra and the related properties of infinite-dimensional Hamiltonian operators ⋮ On local spectral properties of Hamilton type operators ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Invertibility of nonnegative Hamiltonian operator with unbounded entries
• Completeness in the sense of Cauchy principal value of the eigenfunction systems of infinite dimensional Hamiltonian operator
• A remark on numerical range of semi-hyponormal operators
• Spectra of Off-diagonal Infinite-Dimensional Hamiltonian Operators and Their Applications to Plane Elasticity Problems
• On the boundedness of Hamiltonian operators
• On Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space
• A definition of numerical range of rectangular matrices

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