Symmetry of numerical range and semigroup generation of infinite dimensional Hamiltonian operators

DOI10.3906/MAT-1601-96zbMath1424.47016OpenAlexW2791873346MaRDI QIDQ4633731

Jie Liu, Alatancang Chen, Jun-Jie Huang

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1601-96

zbMATH Keywords

symmetrynumerical rangeinfinite dimensional Hamiltonian operator\(C_0\) semigroup

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Groups and semigroups of linear operators (47D03)

Cites Work

• Unnamed Item
• Spectral inclusion properties of the numerical range in a space with an indefinite metric
• Structure of the spectrum of infinite dimensional Hamiltonian operators
• Towards a ``Matrix theory for unbounded operator matrices
• 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.
• Asymptotics of semigroups generated by operator matrices
• One-Parameter Semigroups for Linear Evolution Equations
• On the boundedness of Hamiltonian operators

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