Convergence of the iterated Aluthge transform sequence for diagonalizable matrices

DOI10.1016/j.aim.2007.05.009zbMath1129.37009arXivmath/0604283OpenAlexW2105537334WikidataQ88554104 ScholiaQ88554104MaRDI QIDQ2456221

Demetrio Stojanoff, Jorge Antezana, Enrique R. Pujals

Publication date: 17 October 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604283

zbMATH Keywords

polar decompositionsimilarity orbitstable manifold theorem

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Invariant manifold theory for dynamical systems (37D10)

Related Items (6)

Symbolic computation of the Aluthge transform ⋮ The iterated Aluthge transforms of a matrix converge ⋮ Convergence of Aluthge iteration in semisimple Lie groups ⋮ Aluthge iteration in semisimple Lie group ⋮ Polar decomposition of oblique projections ⋮ Aluthge iterations of weighted translation semigroups

Cites Work

• Unnamed Item
• Hölder foliations
• The iterated Aluthge transforms of a 2-by-2 matrix converge.
• Aluthge transforms of operators
• Perturbation theory for linear operators.
• The iterated Aluthge transform of an operator
• Numerical range of Aluthge transform of operator
• \(\lambda\)-Aluthge transforms and Schatten ideals
• On p-hyponormal operators for \(0<p<1\)
• An expression of spectral radius via Aluthge transformation
• Aluthge Transforms and the Convex Hull of the Eigenvalues of a Matrix
• Invariant manifolds

This page was built for publication: Convergence of the iterated Aluthge transform sequence for diagonalizable matrices