On additive maps preserving certain semi-Fredholm subsets
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Publication:2850995
DOI10.1080/03081087.2012.721364zbMath1280.47026OpenAlexW2012356299MaRDI QIDQ2850995
Mourad Oudghiri, Mostafa Mbekhta
Publication date: 1 October 2013
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2012.721364
Spectrum, resolvent (47A10) Linear operators on Banach algebras (47B48) Structure theory of linear operators (47A65) General theory of topological algebras (46H05)
Related Items (2)
Additive mappings preserving Fredholm operators with fixed nullity or defect ⋮ Nonlinear maps preserving semi-Fredholm operators with bounded nullity
Cites Work
- A hereditarily indecomposable \(\mathcal L_{\infty}\)-space that solves the scalar-plus-compact problem
- Spectrum-preserving linear maps
- Linear transformations which preserve or decrease rank
- Linear transformations which preserve fixed rank
- Additive maps on standard operator algebras preserving invertibilities or zero divisors.
- Additive mappings preserving operators of rank one
- Linear transformations on matrices: The invariance of rank \(k\) matrices
- Invertibility preserving linear maps and algebraic reflexivity of elementary operators of length one
- Linear Transformations on Algebras of Matrices
- Linear maps preserving semi-Fredholm operators and generalized invertibility
- Invertibility preserving linear maps on ℒ(𝒳)
- Linear maps preserving the set of Fredholm operators
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