The \(q\)-numerical range of a reducible matrix via a normal operator

DOI10.1016/j.laa.2006.05.011zbMath1110.15024OpenAlexW2054507681MaRDI QIDQ865407

Mao-Ting Chien, Hiroshi Nakazato

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.05.011

zbMATH Keywords

normal operator\(q\)-numerical rangeDavis-Wielandt shellreducible matrix

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (1)

Flat portions on the boundary of the Davis-Wielandt shell of 3-by-3 matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The constrained bilinear form and the C-numerical range
• Boundary generating curves of the \(c\)-numerical range
• On the estimation of the \(q\)-numerical range of monic matrix polynomials
• Some convexity theorems for the generalized numerical ranges
• The boundary of theq-numerical range of a reducible matrix
• Some Results on the q-Numerical
• On the boundary of theC-numerical range of a matrix
• The boundary of the range of a constrained sesquilinear form
• The q-numerical range and the Davis-Wielandt shell of reducible 3 × 3 matrices
• Theq-numerical ranges of normal operators
• Über den Wertevorrat einer Matrix
• Davis-Wielandt shell and \(q\)-numerical range

This page was built for publication: The \(q\)-numerical range of a reducible matrix via a normal operator