Additive maps preserving rank-one operators on nest algebras
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Publication:3564191
DOI10.1080/03081080801980424zbMath1193.47038OpenAlexW2027349885MaRDI QIDQ3564191
Zhaofang Bai, Shuanping Du, Jin-Chuan Hou
Publication date: 2 June 2010
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080801980424
Transformers, preservers (linear operators on spaces of linear operators) (47B49) Nest algebras, CSL algebras (47L35)
Related Items (6)
Nonlinear isometries on Schatten-\(p\) class in atomic nest algebras ⋮ Additive maps preserving nilpotent perturbation of scalars ⋮ Distance preserving maps of nest algebras ⋮ Lie ring isomorphisms between nest algebras on Banach spaces ⋮ Additive maps preserving commutativity up to a factor on nest algebras ⋮ Additivity of Jordan maps on triangular algebras
Cites Work
- Linear preservers on triangular matrices
- Rank-1 preserving linear maps on nest algebras.
- Rank-1 nilpotency linear preservers on nest algebras.
- Additive rank-one preserving mappings on triangular matrix algebras
- Linear maps preserving idempotence on nest algebras
- Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
- Additive mappings preserving operators of rank one
- Completely rank nonincreasing linear maps on nest algebras
- Some linear preserver problems on upper triangular matrices
- Linear preservers on upper triangular operator matrix algebras
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