Spectral inclusion for unbounded diagonally dominant \(n\times n\) operator matrices

DOI10.1216/RMJ-2018-48-1-279OpenAlexW2801036374MaRDI QIDQ1747346

Christiane Tretter, Tulkin H. Rasulov

Publication date: 7 May 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1524880892

zbMATH Keywords

numerical rangespectrumunbounded linear operatoroperator matrixblock numerical range

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Linear symmetric and selfadjoint operators (unbounded) (47B25) Linear operators on spaces with an indefinite metric (47B50) Operator matrices (47A08)

Related Items (3)

Pseudo numerical ranges and spectral enclosures ⋮ Spectral enclosures for some unbounded \(n\times n\) operator matrices ⋮ Spectral enclosures for a class of block operator matrices

Uses Software

• MathOverflow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-symmetric perturbations of self-adjoint operators
• Spectral inclusion for unbounded block operator matrices
• Gershgorin's theorem for matrices of operators
• Perturbation theory for linear operators.
• Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics
• The Block Numerical Range of an n × n Block Operator Matrix
• A new concept for block operator matrices: The quadratic numerical range

This page was built for publication: Spectral inclusion for unbounded diagonally dominant \(n\times n\) operator matrices