Numerical ranges of weighted shifts

DOI10.1016/j.jmaa.2011.04.010zbMath1257.47010OpenAlexW2078011825WikidataQ122978169 ScholiaQ122978169MaRDI QIDQ542873

Kuo-Zhong Wang, Pei Yuan Wu

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.010

zbMATH Keywords

numerical rangenumerical radiusbilateral weighted shiftunilateral weighted shiftnumerical contraction

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (15)

Determinantal polynomials of a weighted shift matrix with palindromic geometric weights ⋮ Numerical range of the Foguel–Halmos operator ⋮ On the normalized numerical range ⋮ Diagonals and numerical ranges of weighted shift matrices ⋮ Numerical ranges of cyclic shift matrices ⋮ Numerical radii of weighted shift matrices with palindromic weights using determinantal polynomials ⋮ The numerical range of positive operators on Hilbert lattices ⋮ Singular points of cyclic weighted shift matrices ⋮ Maximizing numerical radii of weighted shifts under weight permutations ⋮ Numerical ranges as circular discs ⋮ In search of convexity: diagonals and numerical ranges ⋮ A note on operator probability theory involving numerical ranges ⋮ Determinantal polynomials of a weighted shift operator ⋮ Constant norms and numerical radii of matrix powers ⋮ Maximizing the numerical radii of matrices by permuting their entries

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• On one-parameter unitary groups in Hilbert space
• The numerical range of a nonnegative matrix
• The Numerical Range of a Weighted Shift
• The Boundary of the Numerical Range
• Numerical Range of a Weighted Shift with Periodic Weights
• On a conjecture of Ridge
• Mapping Theorems for the Numerical Range

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