Numerical ranges as circular discs
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Publication:654261
DOI10.1016/j.aml.2011.06.010zbMath1235.15024OpenAlexW2040333601MaRDI QIDQ654261
Publication date: 28 December 2011
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.06.010
Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items (17)
Which set is the numerical range of an operator? ⋮ Convexity of the Berezin range ⋮ Numerical radii for tensor products of matrices ⋮ Elementary proofs for some results on the circular symmetry of the numerical range ⋮ On the boundary of rank-knumerical ranges ⋮ Matrix powers with circular numerical range ⋮ Numerical range of Lie product of operators ⋮ Numerical ranges of cube roots of the identity ⋮ Structures and numerical ranges of power partial isometries ⋮ Unnamed Item ⋮ Extremality of numerical radii of tensor products of matrices ⋮ Symmetric numerical ranges of four-by-four matrices ⋮ Circular numerical ranges of partial isometries ⋮ On the boundary of weighted numerical ranges ⋮ Curves of geodesic centers and Poncelet ellipses ⋮ Equality of numerical ranges of matrix powers ⋮ Higher rank numerical ranges of Jordan-like matrices
Cites Work
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- Numerical ranges of weighted shifts
- Products of positive semidefinite matrices
- Perron-Frobenius type results on the numerical range
- Condition for the numerical range to contain an elliptic disc
- On matrices whose numerical ranges have circular or weak circular symmetry
- The Numerical Range of a Weighted Shift
- Anderson’s theorem for compact operators
- The Numerical Radius of a Nilpotent Operator on a Hilbert Space
- Line segments and elliptic arcs on the boundary of a numerical range
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