Convergence of the iterated Aluthge transform sequence for diagonalizable matrices
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Publication:2456221
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
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
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