Invertibility of nonnegative Hamiltonian operator with unbounded entries

DOI10.1016/J.JMAA.2010.07.042zbMath1202.47046OpenAlexW1997927263MaRDI QIDQ711006

Alatancang Chen, De Yu Wu

Publication date: 25 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.042

zbMATH Keywords

resolvent setbounded invertibilityinfinite-dimensional Hamiltonian operatornonnegative Hamiltonian operator

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37K99) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Special classes of linear operators (47B99)

Related Items (8)

Spectral properties and numerical range of off-diagonal infinite-dimensional Hamiltonian operators ⋮ The local spectral properties of extended Hamilton operators ⋮ On the adjoint of operator matrices with unbounded entries. II ⋮ On local spectral properties of Hamilton type operators ⋮ On invertible nonnegative Hamiltonian operator matrices ⋮ Perturbation of spectra for a class of \(2\times 2\) operator matrices ⋮ On the invertibility of upper triangular operator matrices ⋮ Spectral inclusion properties of unbounded Hamiltonian operators

Cites Work

• Invertibility of an operator arising in the theory of the control of linear systems.
• Invertibility of nonnegatively Hamiltonian operators in a Hilbert space
• Perturbation of closed operators and their adjoints
• On the boundedness of Hamiltonian operators
• The Essential Spectrum of Some Matrix Operators
• On the reducibility of a nonnegatively Hamiltonian periodic operator function in a real Hilbert space to a block diagonal form
• An indefinite approach to the reduction of a nonnegative Hamiltonian operator function to a block diagonal form
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