Nonlinear maps commuting with the λ-Aluthge transform under (n,m)–Jordan-triple product
From MaRDI portal
Publication:5240724
DOI10.1080/03081087.2018.1492514OpenAlexW2885195334MaRDI QIDQ5240724
Fadil Chabbabi, Mostafa Mbekhta
Publication date: 29 October 2019
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2018.1492514
Perturbation theory of linear operators (47A55) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear spaces and algebras of operators (47L99)
Related Items
Nonlinear maps preserving semi-Fredholm operators with bounded nullity, Polar decomposition, Aluthge and mean transforms, Approximation of the polar factor of an operator acting on a Hilbert space
Cites Work
- Unnamed Item
- Product commuting maps with the \(\lambda\)-Aluthge transform
- Jordan product maps commuting with the \(\lambda\)-Aluthge transform
- Maps preserving peripheral spectrum of Jordan semi-triple products of operators
- The iterated Aluthge transforms of a matrix converge
- Aluthge transforms of complex symmetric operators
- On weakly unitarily invariant norm and the Aluthge transformation
- The iterated Aluthge transforms of a 2-by-2 matrix converge.
- Jordan triple maps.
- Aluthge transforms of operators
- The iterated Aluthge transform of an operator
- General product nonlinear maps commuting with the \(\lambda\)-Aluthge transform
- \(\lambda\)-Aluthge transforms and Schatten ideals
- On p-hyponormal operators for \(0<p<1\)
- On isomorphisms of standard operator algebras
- Invertibility preserving linear maps and algebraic reflexivity of elementary operators of length one
- Linear bijections on von Neumann factors commuting with λ‐Aluthge transform
- Spectral pictures of Aluthge transforms of operators
