Linear preservers of \(m\)-selfadjoint operators and high-order isometries
From MaRDI portal
Publication:6084028
DOI10.1007/s43037-023-00302-0OpenAlexW4387253204MaRDI QIDQ6084028
Hakima Mohsine, Zouheir Amara, Mourad Oudghiri
Publication date: 31 October 2023
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43037-023-00302-0
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some results on higher order isometries and symmetries: products and sums with a nilpotent operator
- All linear operators leaving the unitary group invariant
- Perturbation of \(m\)-isometries by nilpotent operators
- Linear maps and additive maps that preserve operators annihilated by a polynomial
- \(m\)-isometric transformations of Hilbert space. I
- \(m\)-isometric transformations of Hilbert space. II
- \(m\)-isometric transformations of Hilbert space. III
- \(m\)-isometries, \(n\)-symmetries and other linear transformations which are hereditary roots
- On higher order selfadjoint operators
- An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
- Elementary operators which are \(m\)-isometries
- Preservers of unitary group or equivalence by unitaries
- On n-quasi-m-isometric operators
- A Disconjugacy Theorem for Toeplitz Operators
- The unitary group preserving maps (the infinite dimensional case)
- Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
- Hereditary Classes of Operators and Matrices
- Some results on higher orders quasi-isometries
- Maps preserving $m$- isometries on Hilbert space
- On Rings of Operators. II
This page was built for publication: Linear preservers of \(m\)-selfadjoint operators and high-order isometries