Symmetry of the quadratic numerical range and spectral inclusion properties of Hamiltonian operator matrices

DOI10.1134/S0001434618050371zbMath1500.47061OpenAlexW2809841893MaRDI QIDQ1668108

Peng Zhang

Publication date: 31 August 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434618050371

zbMATH Keywords

symmetryquadratic numerical rangespectral inclusionHamiltonian operator matrix

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Operators arising in mathematical physics (47B93) Operator matrices (47A08)

Related Items (2)

Spectral inclusion property for a class of block operator matrices ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Structure of the spectrum of infinite dimensional Hamiltonian operators
• Spectral inclusion for unbounded block operator matrices
• Invertibility of nonnegatively Hamiltonian operators in a Hilbert space
• Perturbation theory for linear operators.
• Approximation of the quadratic numerical range of block operator matrices
• Spectral inclusion properties of unbounded Hamiltonian operators
• Perturbation of closed operators and their adjoints
• Spectral properties and numerical range of off-diagonal infinite-dimensional Hamiltonian operators
• A new concept for block operator matrices: The quadratic numerical range
• An indefinite approach to the reduction of a nonnegative Hamiltonian operator function to a block diagonal form

This page was built for publication: Symmetry of the quadratic numerical range and spectral inclusion properties of Hamiltonian operator matrices