Spectral inclusion properties of unbounded Hamiltonian operators

DOI10.1007/S11401-015-0926-4zbMath1310.47006OpenAlexW2069380632MaRDI QIDQ2340486

Yaru Qi, Alatancang Chen, Jun-Jie Huang

Publication date: 20 April 2015

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

Full work available at URL: https://doi.org/10.1007/s11401-015-0926-4

zbMATH Keywords

spectrumHamiltonian operatorquadratic numerical range

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12)

Related Items (2)

Symmetry of the quadratic numerical range and spectral inclusion properties of Hamiltonian operator matrices ⋮ Spectral inclusion by the quadratic numerical range of 2 x 2 operator matrices with unbounded entries

Cites Work

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• Invertibility of nonnegative Hamiltonian operator with unbounded entries
• Structure of the spectrum of infinite dimensional Hamiltonian operators
• Spectral inclusion for unbounded block operator matrices
• Semigroups of linear operators and applications to partial differential equations
• Invertibility of an operator arising in the theory of the control of linear systems.
• Invertibility of nonnegatively Hamiltonian operators in a Hilbert space
• Perturbation theory for linear operators.
• Completeness of the system of root vectors of \(2 \times 2\) upper triangular infinite-dimensional Hamiltonian operators in symplectic spaces and applications
• A new concept for block operator matrices: The quadratic numerical range

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