On local spectral properties of Hamilton type operators

DOI10.1007/S10255-018-0736-ZOpenAlexW2792698141MaRDI QIDQ1709437

Alatancang Chen, Jun Li Shen

Publication date: 5 April 2018

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-018-0736-z

zbMATH Keywords

Weyl's theoremdecomposabilityproperty \((\beta)\)Hamilton type operatorsproperty \((C)\)

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (1)

The local spectrum, property \((\beta)\) and decomposability of operator matrices

Cites Work

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• Spectral inclusion properties of the numerical range in a space with an indefinite metric
• Property \((R)\) for bounded linear operators
• Invertibility of nonnegative Hamiltonian operator with unbounded entries
• Structure of the spectrum of infinite dimensional Hamiltonian operators
• Completeness of the system of root vectors of \(2 \times 2\) upper triangular infinite-dimensional Hamiltonian operators in symplectic spaces and applications
• Spectral properties and numerical range of off-diagonal infinite-dimensional Hamiltonian operators
• Another note on Weyl’s theorem

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