Spectral enclosures for some unbounded \(n\times n\) operator matrices

DOI10.1007/s43034-024-00316-1OpenAlexW4391394533MaRDI QIDQ6118422

Yaru Qi, Yuying Li, Unnamed Author

Publication date: 21 March 2024

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-024-00316-1

zbMATH Keywords

unbounded linear operatoroperator matrixspectral enclosure

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• On frames for Kreĭn spaces
• Spectral properties of unbounded \(J\)-self-adjoint block operator matrices
• Spectral inclusion for unbounded block operator matrices
• Gershgorin's theorem for matrices of operators
• Spectral inclusion for unbounded diagonally dominant \(n\times n\) operator matrices
• Pseudo numerical ranges and spectral enclosures
• Spectral enclosures for a class of block operator matrices
• Bounds on the spectrum and reducing subspaces of a $J$-self-adjoint operator
• On a Class of Analytic Operator Functions and Their Linearizations
• A new Gershgorin-type result for the localisation of the spectrum of matrices
• One-Parameter Semigroups for Linear Evolution Equations
• Spectrum of J-frame operators
• Spectrum of definite type of self-adjoint operators in Krein spaces
• The Ostrowski theorem for matrices of operators

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