Spectral inclusion properties of the numerical range in a space with an indefinite metric

DOI10.1016/j.laa.2011.02.053zbMath1228.47006OpenAlexW1975936763MaRDI QIDQ551261

Alatancang Chen, De Yu Wu

Publication date: 15 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.02.053

zbMATH Keywords

numerical rangeindefinite inner product space\(\mathcal J\)-numerical rangeuniformly \(\mathcal J\)-positive operator

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Linear operators on spaces with an indefinite metric (47B50)

Related Items (8)

The local spectral properties of extended Hamilton operators ⋮ The numerical range of non-negative operators in Krein spaces ⋮ On local spectral properties of Hamilton type operators ⋮ Non self-adjoint well-defined restrictions and extensions with real spectrum ⋮ Symmetry of numerical range and semigroup generation of infinite dimensional Hamiltonian operators ⋮ Perturbation of spectra for a class of \(2\times 2\) operator matrices ⋮ Semigroup generations of unbounded block operator matrices based on the space decomposition ⋮ Spectral inclusion by the quadratic numerical range of 2 x 2 operator matrices with unbounded entries

Cites Work

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• Numerical range of linear operators in spaces with indefinite metric
• On the geometry of numerical ranges in spaces with an indefinite inner product
• Shapes and computer generation of numerical ranges of Krein space operators
• On Generalized Numerical Ranges of Operators on an Indefinite Inner Product Space
• Numerical ranges of an operator on an indefinite inner product space

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