The \(q\)-numerical radius of weighted shift operators with periodic weights

DOI10.1016/j.laa.2006.09.017zbMath1117.15027OpenAlexW2060952175MaRDI QIDQ869928

Hiroshi Nakazato, Mao-Ting Chien

Publication date: 9 March 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.2006.09.017

zbMATH Keywords

\(q\)-numerical rangebilateral weighted shiftunilateral weighted shiftoperators on sequence spaces

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (6)

Numerical ranges of cyclic shift matrices ⋮ q -Numerical radius inequalities for Hilbert space ⋮ Singular points of cyclic weighted shift matrices ⋮ On the numerical range of some weighted shift matrices and operators ⋮ Perturbation of the \(q\)-numerical radius of a weighted shift operator ⋮ The \(q\)-numerical range of 3-by-3 weighted shift matrices

Cites Work

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• The constrained bilinear form and the C-numerical range
• On the estimation of the \(q\)-numerical range of monic matrix polynomials
• Numerical Range of a Weighted Shift with Periodic Weights
• On a conjecture of Ridge
• Some Results on the q-Numerical
• Theq-numerical ranges of normal operators
• Flat portions on the boundary of the numerical ranges of certain Toeplitz matrices
• Davis-Wielandt shell and \(q\)-numerical range

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