Aluthge Transforms and the Convex Hull of the Eigenvalues of a Matrix

DOI10.1080/03081080310001653092zbMath1059.15028OpenAlexW2040040363MaRDI QIDQ4818366

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Publication date: 28 September 2004

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

Full work available at URL: https://doi.org/10.1080/03081080310001653092

zbMATH Keywords

eigenvaluesnumerical rangeconvex hullnormal matrixAluthge transformToeplitz-Hausdorff theorem

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

A note on \(({\mathcal C}_p,\alpha )\)-hyponormal operators, The iterated Aluthge transforms of a matrix converge, Operators with normal Aluthge transforms, The iterated Aluthge transforms of a 2-by-2 matrix converge., Convergence of the iterated Aluthge transform sequence for diagonalizable matrices, The induced Aluthge transformations, \(\lambda\)-Aluthge transforms and Schatten ideals, Aluthge iteration in semisimple Lie group, Linear bijections on von Neumann factors commuting with λ‐Aluthge transform, On the numerical range behavior under the generalized Aluthge transform, Unnamed Item

Cites Work

• Unnamed Item
• Aluthge transforms of operators
• Numerical range of Aluthge transform of operator
• On p-hyponormal operators for \(0<p<1\)
• An expression of spectral radius via Aluthge transformation
• A note on $p$-hyponormal operators
• On numerical range of the Aluthge transformation